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Simplifying 5(w + 6) = -4(3w + -3) Reorder the terms: 5(6 + w) = -4(3w + -3) (6 * 5 + w * 5) = -4(3w + -3) (30 + 5w) = -4(3w + -3) Reorder the terms: 30 + 5w = -4(-3 + 3w) 30 + 5w = (-3 * -4 + 3w * -4) 30 + 5w = (12 + -12w) Solving 30 + 5w = 12 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 30 + 5w + 12w = 12 + -12w + 12w Combine like terms: 5w + 12w = 17w 30 + 17w = 12 + -12w + 12w Combine like terms: -12w + 12w = 0 30 + 17w = 12 + 0 30 + 17w = 12 Add '-30' to each side of the equation. 30 + -30 + 17w = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 17w = 12 + -30 17w = 12 + -30 Combine like terms: 12 + -30 = -18 17w = -18 Divide each side by '17'. w = -1.058823529 Simplifying w = -1.058823529
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