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Simplifying -3(w + 3) = 6w + -9 + 2(3w + 6) Reorder the terms: -3(3 + w) = 6w + -9 + 2(3w + 6) (3 * -3 + w * -3) = 6w + -9 + 2(3w + 6) (-9 + -3w) = 6w + -9 + 2(3w + 6) Reorder the terms: -9 + -3w = 6w + -9 + 2(6 + 3w) -9 + -3w = 6w + -9 + (6 * 2 + 3w * 2) -9 + -3w = 6w + -9 + (12 + 6w) Reorder the terms: -9 + -3w = -9 + 12 + 6w + 6w Combine like terms: -9 + 12 = 3 -9 + -3w = 3 + 6w + 6w Combine like terms: 6w + 6w = 12w -9 + -3w = 3 + 12w Solving -9 + -3w = 3 + 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. -9 + -3w + -12w = 3 + 12w + -12w Combine like terms: -3w + -12w = -15w -9 + -15w = 3 + 12w + -12w Combine like terms: 12w + -12w = 0 -9 + -15w = 3 + 0 -9 + -15w = 3 Add '9' to each side of the equation. -9 + 9 + -15w = 3 + 9 Combine like terms: -9 + 9 = 0 0 + -15w = 3 + 9 -15w = 3 + 9 Combine like terms: 3 + 9 = 12 -15w = 12 Divide each side by '-15'. w = -0.8 Simplifying w = -0.8
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