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Simplifying -2(w + -7) = w + -1 Reorder the terms: -2(-7 + w) = w + -1 (-7 * -2 + w * -2) = w + -1 (14 + -2w) = w + -1 Reorder the terms: 14 + -2w = -1 + w Solving 14 + -2w = -1 + 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. 14 + -2w + -1w = -1 + w + -1w Combine like terms: -2w + -1w = -3w 14 + -3w = -1 + w + -1w Combine like terms: w + -1w = 0 14 + -3w = -1 + 0 14 + -3w = -1 Add '-14' to each side of the equation. 14 + -14 + -3w = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -3w = -1 + -14 -3w = -1 + -14 Combine like terms: -1 + -14 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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