Simplify the expression: 3w - 5w + 7w + 7w ____

Identify Like Terms: Identify like terms in the expression 3w - 5w + 7w + 7w. Like terms are terms that contain the same variable raised to the same power. In this case, all terms are like terms because they all contain the variable w raised to the first power.Combine Like Terms: Combine the like terms by adding or subtracting the coefficients. 3w - 5w + 7w + 7w = (3 - 5 + 7 + 7)wPerform Arithmetic Operation: Perform the arithmetic operation on the coefficients. (3 - 5 + 7 + 7)w = (3 - 5) + (7 + 7)w = (-2 + 14)w = 12w

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Simplify the expression: $\newline$ $3w - 5w + 7w + 7w$

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

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Q. Simplify the expression:

\newline

3w - 5w + 7w + 7w

Identify Like Terms: Identify like terms in the expression $3w - 5w + 7w + 7w$ . Like terms are terms that contain the same variable raised to the same power. In this case, all terms are like terms because they all contain the variable $w$ raised to the first power.
Combine Like Terms: Combine the like terms by adding or subtracting the coefficients. $\newline$ $3w - 5w + 7w + 7w = (3 - 5 + 7 + 7)w$
Perform Arithmetic Operation: Perform the arithmetic operation on the coefficients. $\newline$ $(3 - 5 + 7 + 7)w = (3 - 5) + (7 + 7)w$ $\newline$ $= (-2 + 14)w$ $\newline$ $= 12w$