-2(4w-6)+9(w-10)=-67-10

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Solution for -2(4w-6)+9(w-10)=-67-10 equation: 


Simplifying
-2(4w + -6) + 9(w + -10) = -67 + -10

Reorder the terms:
-2(-6 + 4w) + 9(w + -10) = -67 + -10
(-6 * -2 + 4w * -2) + 9(w + -10) = -67 + -10
(12 + -8w) + 9(w + -10) = -67 + -10

Reorder the terms:
12 + -8w + 9(-10 + w) = -67 + -10
12 + -8w + (-10 * 9 + w * 9) = -67 + -10
12 + -8w + (-90 + 9w) = -67 + -10

Reorder the terms:
12 + -90 + -8w + 9w = -67 + -10

Combine like terms: 12 + -90 = -78
-78 + -8w + 9w = -67 + -10

Combine like terms: -8w + 9w = 1w
-78 + 1w = -67 + -10

Combine like terms: -67 + -10 = -77
-78 + 1w = -77

Solving
-78 + 1w = -77

Solving for variable 'w'.

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

Add '78' to each side of the equation.
-78 + 78 + 1w = -77 + 78

Combine like terms: -78 + 78 = 0
0 + 1w = -77 + 78
1w = -77 + 78

Combine like terms: -77 + 78 = 1
1w = 1

Divide each side by '1'.
w = 1

Simplifying
w = 1

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