Question

Solve for the indicated variable. $$ 2(3 n+4)=-(n+2) $$

   Solve for the indicated variable.
$$
2(3 n+4)=-(n+2)
$$

Algebra and Trigonometry

Algebra and Trigonometry

Cynthia Y. Young 4th Edition

Chapter 1, Problem 22

Instant Answer

Solved by Expert Amy Jiang

06/30/2020

Step 1

$$ 6n + 8 = -(n + 2) $$ Show more…

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Solve for the indicated variable. $$ 2(3 n+4)=-(n+2) $$

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Key Concepts

Linear Equations

A linear equation is an algebraic statement that involves variables raised only to the first power and no products of variables. It represents a straight line when graphed, and solving it means finding the specific value of the variable that makes the equation true.

Distributive Property

The distributive property allows you to multiply a number by a sum inside parentheses by multiplying each addend individually and then adding the results. This step is crucial for eliminating parentheses and simplifying the equation.

Combining Like Terms

Combining like terms involves consolidating terms in an expression that have the same variable component, with the goal of simplifying the expression. This step is important in reducing the equation to a simpler form before isolating the variable.

Inverse Operations

Inverse operations are arithmetic operations that undo each other, such as multiplication with division or addition with subtraction. They are employed in the process of isolating the variable and solving the equation by sequentially reversing the operations applied on the variable.

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