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Simplifying -2(w + -7) + 3 = w + -1 Reorder the terms: -2(-7 + w) + 3 = w + -1 (-7 * -2 + w * -2) + 3 = w + -1 (14 + -2w) + 3 = w + -1 Reorder the terms: 14 + 3 + -2w = w + -1 Combine like terms: 14 + 3 = 17 17 + -2w = w + -1 Reorder the terms: 17 + -2w = -1 + w Solving 17 + -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. 17 + -2w + -1w = -1 + w + -1w Combine like terms: -2w + -1w = -3w 17 + -3w = -1 + w + -1w Combine like terms: w + -1w = 0 17 + -3w = -1 + 0 17 + -3w = -1 Add '-17' to each side of the equation. 17 + -17 + -3w = -1 + -17 Combine like terms: 17 + -17 = 0 0 + -3w = -1 + -17 -3w = -1 + -17 Combine like terms: -1 + -17 = -18 -3w = -18 Divide each side by '-3'. w = 6 Simplifying w = 6
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