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Simplifying 2w + 2 + -2(-3w + -3) = 2(w + -1) Reorder the terms: 2w + 2 + -2(-3 + -3w) = 2(w + -1) 2w + 2 + (-3 * -2 + -3w * -2) = 2(w + -1) 2w + 2 + (6 + 6w) = 2(w + -1) Reorder the terms: 2 + 6 + 2w + 6w = 2(w + -1) Combine like terms: 2 + 6 = 8 8 + 2w + 6w = 2(w + -1) Combine like terms: 2w + 6w = 8w 8 + 8w = 2(w + -1) Reorder the terms: 8 + 8w = 2(-1 + w) 8 + 8w = (-1 * 2 + w * 2) 8 + 8w = (-2 + 2w) Solving 8 + 8w = -2 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 8 + 8w + -2w = -2 + 2w + -2w Combine like terms: 8w + -2w = 6w 8 + 6w = -2 + 2w + -2w Combine like terms: 2w + -2w = 0 8 + 6w = -2 + 0 8 + 6w = -2 Add '-8' to each side of the equation. 8 + -8 + 6w = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 6w = -2 + -8 6w = -2 + -8 Combine like terms: -2 + -8 = -10 6w = -10 Divide each side by '6'. w = -1.666666667 Simplifying w = -1.666666667
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