2w=-9(w-19)+16

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Solution for 2w=-9(w-19)+16 equation:


Simplifying
2w = -9(w + -19) + 16

Reorder the terms:
2w = -9(-19 + w) + 16
2w = (-19 * -9 + w * -9) + 16
2w = (171 + -9w) + 16

Reorder the terms:
2w = 171 + 16 + -9w

Combine like terms: 171 + 16 = 187
2w = 187 + -9w

Solving
2w = 187 + -9w

Solving for variable 'w'.

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

Add '9w' to each side of the equation.
2w + 9w = 187 + -9w + 9w

Combine like terms: 2w + 9w = 11w
11w = 187 + -9w + 9w

Combine like terms: -9w + 9w = 0
11w = 187 + 0
11w = 187

Divide each side by '11'.
w = 17

Simplifying
w = 17

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