-7(-3+4)-9w=4(w-8)-6

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Solution for -7(-3+4)-9w=4(w-8)-6 equation:


Simplifying
-7(-3 + 4) + -9w = 4(w + -8) + -6

Combine like terms: -3 + 4 = 1
-7(1) + -9w = 4(w + -8) + -6

Multiply -7 * 1
-7 + -9w = 4(w + -8) + -6

Reorder the terms:
-7 + -9w = 4(-8 + w) + -6
-7 + -9w = (-8 * 4 + w * 4) + -6
-7 + -9w = (-32 + 4w) + -6

Reorder the terms:
-7 + -9w = -32 + -6 + 4w

Combine like terms: -32 + -6 = -38
-7 + -9w = -38 + 4w

Solving
-7 + -9w = -38 + 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.
-7 + -9w + -4w = -38 + 4w + -4w

Combine like terms: -9w + -4w = -13w
-7 + -13w = -38 + 4w + -4w

Combine like terms: 4w + -4w = 0
-7 + -13w = -38 + 0
-7 + -13w = -38

Add '7' to each side of the equation.
-7 + 7 + -13w = -38 + 7

Combine like terms: -7 + 7 = 0
0 + -13w = -38 + 7
-13w = -38 + 7

Combine like terms: -38 + 7 = -31
-13w = -31

Divide each side by '-13'.
w = 2.384615385

Simplifying
w = 2.384615385

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