-7w+2(w+6)=9-(4w-10)

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Solution for -7w+2(w+6)=9-(4w-10) equation:


Simplifying
-7w + 2(w + 6) = 9 + -1(4w + -10)

Reorder the terms:
-7w + 2(6 + w) = 9 + -1(4w + -10)
-7w + (6 * 2 + w * 2) = 9 + -1(4w + -10)
-7w + (12 + 2w) = 9 + -1(4w + -10)

Reorder the terms:
12 + -7w + 2w = 9 + -1(4w + -10)

Combine like terms: -7w + 2w = -5w
12 + -5w = 9 + -1(4w + -10)

Reorder the terms:
12 + -5w = 9 + -1(-10 + 4w)
12 + -5w = 9 + (-10 * -1 + 4w * -1)
12 + -5w = 9 + (10 + -4w)

Combine like terms: 9 + 10 = 19
12 + -5w = 19 + -4w

Solving
12 + -5w = 19 + -4w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '4w' to each side of the equation.
12 + -5w + 4w = 19 + -4w + 4w

Combine like terms: -5w + 4w = -1w
12 + -1w = 19 + -4w + 4w

Combine like terms: -4w + 4w = 0
12 + -1w = 19 + 0
12 + -1w = 19

Add '-12' to each side of the equation.
12 + -12 + -1w = 19 + -12

Combine like terms: 12 + -12 = 0
0 + -1w = 19 + -12
-1w = 19 + -12

Combine like terms: 19 + -12 = 7
-1w = 7

Divide each side by '-1'.
w = -7

Simplifying
w = -7

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