Question

Solve each equation. $7 w+2=3 w-6$

   Solve each equation.
$7 w+2=3 w-6$

Algebra 2

Holliday, Luchin,… 1st Edition

Chapter 1, Problem 64

Instant Answer

Solved by Expert Tomokazu Switzer

03/08/2020

Step 1

This gives us: \[7w - 3w + 2 = 3w - 3w - 6\] which simplifies to: \[4w + 2 = -6\] Show more…

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Solve each equation. $7 w+2=3 w-6$

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Key Concepts

Combining Like Terms

Combining like terms means merging terms in an equation that contain the same variable or are constants, which simplifies the equation and makes it easier to isolate the unknown variable.

Properties of Equality

The properties of equality allow the same arithmetic operation to be applied to both sides of an equation without changing its truth value. This is essential for maintaining balance in the equation while simplifying and solving for the variable.

Linear Equations

Linear equations are algebraic expressions representing a relationship in which the variable is raised only to the first power. They form a fundamental component of algebra, where solving them involves finding the specific value that satisfies the equation.

Isolation of the Variable

This concept involves rewriting the equation so that the variable of interest appears alone on one side of the equation. Doing so generally requires using inverse operations such as addition, subtraction, multiplication, or division.

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