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Simplifying -3(4w + -3) + 5w = 3(w + 7) Reorder the terms: -3(-3 + 4w) + 5w = 3(w + 7) (-3 * -3 + 4w * -3) + 5w = 3(w + 7) (9 + -12w) + 5w = 3(w + 7) Combine like terms: -12w + 5w = -7w 9 + -7w = 3(w + 7) Reorder the terms: 9 + -7w = 3(7 + w) 9 + -7w = (7 * 3 + w * 3) 9 + -7w = (21 + 3w) Solving 9 + -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. 9 + -7w + -3w = 21 + 3w + -3w Combine like terms: -7w + -3w = -10w 9 + -10w = 21 + 3w + -3w Combine like terms: 3w + -3w = 0 9 + -10w = 21 + 0 9 + -10w = 21 Add '-9' to each side of the equation. 9 + -9 + -10w = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -10w = 21 + -9 -10w = 21 + -9 Combine like terms: 21 + -9 = 12 -10w = 12 Divide each side by '-10'. w = -1.2 Simplifying w = -1.2
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