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Simplifying -7(w + -5) = -3w + 7 Reorder the terms: -7(-5 + w) = -3w + 7 (-5 * -7 + w * -7) = -3w + 7 (35 + -7w) = -3w + 7 Reorder the terms: 35 + -7w = 7 + -3w Solving 35 + -7w = 7 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 35 + -7w + 3w = 7 + -3w + 3w Combine like terms: -7w + 3w = -4w 35 + -4w = 7 + -3w + 3w Combine like terms: -3w + 3w = 0 35 + -4w = 7 + 0 35 + -4w = 7 Add '-35' to each side of the equation. 35 + -35 + -4w = 7 + -35 Combine like terms: 35 + -35 = 0 0 + -4w = 7 + -35 -4w = 7 + -35 Combine like terms: 7 + -35 = -28 -4w = -28 Divide each side by '-4'. w = 7 Simplifying w = 7
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