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Simplifying 3(w + -3) = 9w + 1 + -2(-3w + -3) Reorder the terms: 3(-3 + w) = 9w + 1 + -2(-3w + -3) (-3 * 3 + w * 3) = 9w + 1 + -2(-3w + -3) (-9 + 3w) = 9w + 1 + -2(-3w + -3) Reorder the terms: -9 + 3w = 9w + 1 + -2(-3 + -3w) -9 + 3w = 9w + 1 + (-3 * -2 + -3w * -2) -9 + 3w = 9w + 1 + (6 + 6w) Reorder the terms: -9 + 3w = 1 + 6 + 9w + 6w Combine like terms: 1 + 6 = 7 -9 + 3w = 7 + 9w + 6w Combine like terms: 9w + 6w = 15w -9 + 3w = 7 + 15w Solving -9 + 3w = 7 + 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. -9 + 3w + -15w = 7 + 15w + -15w Combine like terms: 3w + -15w = -12w -9 + -12w = 7 + 15w + -15w Combine like terms: 15w + -15w = 0 -9 + -12w = 7 + 0 -9 + -12w = 7 Add '9' to each side of the equation. -9 + 9 + -12w = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -12w = 7 + 9 -12w = 7 + 9 Combine like terms: 7 + 9 = 16 -12w = 16 Divide each side by '-12'. w = -1.333333333 Simplifying w = -1.333333333
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