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Simplifying 3(3w + -3) + -3w = 3(3w + -2) Reorder the terms: 3(-3 + 3w) + -3w = 3(3w + -2) (-3 * 3 + 3w * 3) + -3w = 3(3w + -2) (-9 + 9w) + -3w = 3(3w + -2) Combine like terms: 9w + -3w = 6w -9 + 6w = 3(3w + -2) Reorder the terms: -9 + 6w = 3(-2 + 3w) -9 + 6w = (-2 * 3 + 3w * 3) -9 + 6w = (-6 + 9w) Solving -9 + 6w = -6 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -9 + 6w + -9w = -6 + 9w + -9w Combine like terms: 6w + -9w = -3w -9 + -3w = -6 + 9w + -9w Combine like terms: 9w + -9w = 0 -9 + -3w = -6 + 0 -9 + -3w = -6 Add '9' to each side of the equation. -9 + 9 + -3w = -6 + 9 Combine like terms: -9 + 9 = 0 0 + -3w = -6 + 9 -3w = -6 + 9 Combine like terms: -6 + 9 = 3 -3w = 3 Divide each side by '-3'. w = -1 Simplifying w = -1
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