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Simplifying -114 = w + 4 + -12w + 8 Reorder the terms: -114 = 4 + 8 + w + -12w Combine like terms: 4 + 8 = 12 -114 = 12 + w + -12w Combine like terms: w + -12w = -11w -114 = 12 + -11w Solving -114 = 12 + -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. -114 + 11w = 12 + -11w + 11w Combine like terms: -11w + 11w = 0 -114 + 11w = 12 + 0 -114 + 11w = 12 Add '114' to each side of the equation. -114 + 114 + 11w = 12 + 114 Combine like terms: -114 + 114 = 0 0 + 11w = 12 + 114 11w = 12 + 114 Combine like terms: 12 + 114 = 126 11w = 126 Divide each side by '11'. w = 11.45454545 Simplifying w = 11.45454545
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