10w+7=8(2w-4)-9

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Solution for 10w+7=8(2w-4)-9 equation:


Simplifying
10w + 7 = 8(2w + -4) + -9

Reorder the terms:
7 + 10w = 8(2w + -4) + -9

Reorder the terms:
7 + 10w = 8(-4 + 2w) + -9
7 + 10w = (-4 * 8 + 2w * 8) + -9
7 + 10w = (-32 + 16w) + -9

Reorder the terms:
7 + 10w = -32 + -9 + 16w

Combine like terms: -32 + -9 = -41
7 + 10w = -41 + 16w

Solving
7 + 10w = -41 + 16w

Solving for variable 'w'.

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

Add '-16w' to each side of the equation.
7 + 10w + -16w = -41 + 16w + -16w

Combine like terms: 10w + -16w = -6w
7 + -6w = -41 + 16w + -16w

Combine like terms: 16w + -16w = 0
7 + -6w = -41 + 0
7 + -6w = -41

Add '-7' to each side of the equation.
7 + -7 + -6w = -41 + -7

Combine like terms: 7 + -7 = 0
0 + -6w = -41 + -7
-6w = -41 + -7

Combine like terms: -41 + -7 = -48
-6w = -48

Divide each side by '-6'.
w = 8

Simplifying
w = 8

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