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Simplifying -7(w + 5) + 32 = 3(7 + -1w) Reorder the terms: -7(5 + w) + 32 = 3(7 + -1w) (5 * -7 + w * -7) + 32 = 3(7 + -1w) (-35 + -7w) + 32 = 3(7 + -1w) Reorder the terms: -35 + 32 + -7w = 3(7 + -1w) Combine like terms: -35 + 32 = -3 -3 + -7w = 3(7 + -1w) -3 + -7w = (7 * 3 + -1w * 3) -3 + -7w = (21 + -3w) Solving -3 + -7w = 21 + -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. -3 + -7w + 3w = 21 + -3w + 3w Combine like terms: -7w + 3w = -4w -3 + -4w = 21 + -3w + 3w Combine like terms: -3w + 3w = 0 -3 + -4w = 21 + 0 -3 + -4w = 21 Add '3' to each side of the equation. -3 + 3 + -4w = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -4w = 21 + 3 -4w = 21 + 3 Combine like terms: 21 + 3 = 24 -4w = 24 Divide each side by '-4'. w = -6 Simplifying w = -6
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