9(w+9)+8(w-2)=116

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Solution for 9(w+9)+8(w-2)=116 equation:


Simplifying
9(w + 9) + 8(w + -2) = 116

Reorder the terms:
9(9 + w) + 8(w + -2) = 116
(9 * 9 + w * 9) + 8(w + -2) = 116
(81 + 9w) + 8(w + -2) = 116

Reorder the terms:
81 + 9w + 8(-2 + w) = 116
81 + 9w + (-2 * 8 + w * 8) = 116
81 + 9w + (-16 + 8w) = 116

Reorder the terms:
81 + -16 + 9w + 8w = 116

Combine like terms: 81 + -16 = 65
65 + 9w + 8w = 116

Combine like terms: 9w + 8w = 17w
65 + 17w = 116

Solving
65 + 17w = 116

Solving for variable 'w'.

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

Add '-65' to each side of the equation.
65 + -65 + 17w = 116 + -65

Combine like terms: 65 + -65 = 0
0 + 17w = 116 + -65
17w = 116 + -65

Combine like terms: 116 + -65 = 51
17w = 51

Divide each side by '17'.
w = 3

Simplifying
w = 3

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