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Simplifying -3(w + -5) = -7w + 31 Reorder the terms: -3(-5 + w) = -7w + 31 (-5 * -3 + w * -3) = -7w + 31 (15 + -3w) = -7w + 31 Reorder the terms: 15 + -3w = 31 + -7w Solving 15 + -3w = 31 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 15 + -3w + 7w = 31 + -7w + 7w Combine like terms: -3w + 7w = 4w 15 + 4w = 31 + -7w + 7w Combine like terms: -7w + 7w = 0 15 + 4w = 31 + 0 15 + 4w = 31 Add '-15' to each side of the equation. 15 + -15 + 4w = 31 + -15 Combine like terms: 15 + -15 = 0 0 + 4w = 31 + -15 4w = 31 + -15 Combine like terms: 31 + -15 = 16 4w = 16 Divide each side by '4'. w = 4 Simplifying w = 4
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