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Simplifying 3(w + -1) = 3w + 6 + -3(-4w + -3) Reorder the terms: 3(-1 + w) = 3w + 6 + -3(-4w + -3) (-1 * 3 + w * 3) = 3w + 6 + -3(-4w + -3) (-3 + 3w) = 3w + 6 + -3(-4w + -3) Reorder the terms: -3 + 3w = 3w + 6 + -3(-3 + -4w) -3 + 3w = 3w + 6 + (-3 * -3 + -4w * -3) -3 + 3w = 3w + 6 + (9 + 12w) Reorder the terms: -3 + 3w = 6 + 9 + 3w + 12w Combine like terms: 6 + 9 = 15 -3 + 3w = 15 + 3w + 12w Combine like terms: 3w + 12w = 15w -3 + 3w = 15 + 15w Solving -3 + 3w = 15 + 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. -3 + 3w + -15w = 15 + 15w + -15w Combine like terms: 3w + -15w = -12w -3 + -12w = 15 + 15w + -15w Combine like terms: 15w + -15w = 0 -3 + -12w = 15 + 0 -3 + -12w = 15 Add '3' to each side of the equation. -3 + 3 + -12w = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -12w = 15 + 3 -12w = 15 + 3 Combine like terms: 15 + 3 = 18 -12w = 18 Divide each side by '-12'. w = -1.5 Simplifying w = -1.5
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