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Simplifying 4(3w + -1) = 5(4 + 3w) Reorder the terms: 4(-1 + 3w) = 5(4 + 3w) (-1 * 4 + 3w * 4) = 5(4 + 3w) (-4 + 12w) = 5(4 + 3w) -4 + 12w = (4 * 5 + 3w * 5) -4 + 12w = (20 + 15w) Solving -4 + 12w = 20 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -4 + 12w + -15w = 20 + 15w + -15w Combine like terms: 12w + -15w = -3w -4 + -3w = 20 + 15w + -15w Combine like terms: 15w + -15w = 0 -4 + -3w = 20 + 0 -4 + -3w = 20 Add '4' to each side of the equation. -4 + 4 + -3w = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -3w = 20 + 4 -3w = 20 + 4 Combine like terms: 20 + 4 = 24 -3w = 24 Divide each side by '-3'. w = -8 Simplifying w = -8
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