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Simplifying -7w + 4 = w + 116 Reorder the terms: 4 + -7w = w + 116 Reorder the terms: 4 + -7w = 116 + w Solving 4 + -7w = 116 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 4 + -7w + -1w = 116 + w + -1w Combine like terms: -7w + -1w = -8w 4 + -8w = 116 + w + -1w Combine like terms: w + -1w = 0 4 + -8w = 116 + 0 4 + -8w = 116 Add '-4' to each side of the equation. 4 + -4 + -8w = 116 + -4 Combine like terms: 4 + -4 = 0 0 + -8w = 116 + -4 -8w = 116 + -4 Combine like terms: 116 + -4 = 112 -8w = 112 Divide each side by '-8'. w = -14 Simplifying w = -14
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