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Simplifying -3(4w + 5) = 3w + 15 Reorder the terms: -3(5 + 4w) = 3w + 15 (5 * -3 + 4w * -3) = 3w + 15 (-15 + -12w) = 3w + 15 Reorder the terms: -15 + -12w = 15 + 3w Solving -15 + -12w = 15 + 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. -15 + -12w + -3w = 15 + 3w + -3w Combine like terms: -12w + -3w = -15w -15 + -15w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 -15 + -15w = 15 + 0 -15 + -15w = 15 Add '15' to each side of the equation. -15 + 15 + -15w = 15 + 15 Combine like terms: -15 + 15 = 0 0 + -15w = 15 + 15 -15w = 15 + 15 Combine like terms: 15 + 15 = 30 -15w = 30 Divide each side by '-15'. w = -2 Simplifying w = -2
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