9(w-4)+10=2w+16

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Solution for 9(w-4)+10=2w+16 equation:


Simplifying
9(w + -4) + 10 = 2w + 16

Reorder the terms:
9(-4 + w) + 10 = 2w + 16
(-4 * 9 + w * 9) + 10 = 2w + 16
(-36 + 9w) + 10 = 2w + 16

Reorder the terms:
-36 + 10 + 9w = 2w + 16

Combine like terms: -36 + 10 = -26
-26 + 9w = 2w + 16

Reorder the terms:
-26 + 9w = 16 + 2w

Solving
-26 + 9w = 16 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
-26 + 9w + -2w = 16 + 2w + -2w

Combine like terms: 9w + -2w = 7w
-26 + 7w = 16 + 2w + -2w

Combine like terms: 2w + -2w = 0
-26 + 7w = 16 + 0
-26 + 7w = 16

Add '26' to each side of the equation.
-26 + 26 + 7w = 16 + 26

Combine like terms: -26 + 26 = 0
0 + 7w = 16 + 26
7w = 16 + 26

Combine like terms: 16 + 26 = 42
7w = 42

Divide each side by '7'.
w = 6

Simplifying
w = 6

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