Question

Solve for the indicated variable. $$ 14 c+15=43+7 c $$

   Solve for the indicated variable.
$$
14 c+15=43+7 c
$$

Algebra and Trigonometry

Algebra and Trigonometry

Cynthia Y. Young 4th Edition

Chapter 1, Problem 18

Instant Answer

Solved by Expert Amy Jiang

06/30/2020

Step 1

14c - 7c + 15 = 43 + 7c - 7c Show more…

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Solve for the indicated variable. $$ 14 c+15=43+7 c $$

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Key Concepts

Combining Like Terms

Combining like terms means simplifying an expression by merging terms that have the same variable part. This process reduces complexity and helps in isolating the variable by reducing the equation to fewer terms.

Isolating the Variable

Isolating the variable involves rearranging an equation so the variable stands alone on one side. This is achieved by applying inverse operations to both sides of the equation, ultimately allowing the exact value of the variable to be determined.

Linear Equations

Linear equations are mathematical statements that equate two expressions which involve variables raised only to the first power. They represent straight lines when graphed and form the basis of many algebraic concepts.

Balancing Equations

Balancing equations involves performing the same operations on both sides of an equation to maintain equality. This ensures that the solution derived for the variable is valid by keeping the equation equivalent throughout the manipulation process.

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