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