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Simplifying 8w + 7 + -2(-2w + -1) = 3(w + -2) Reorder the terms: 8w + 7 + -2(-1 + -2w) = 3(w + -2) 8w + 7 + (-1 * -2 + -2w * -2) = 3(w + -2) 8w + 7 + (2 + 4w) = 3(w + -2) Reorder the terms: 7 + 2 + 8w + 4w = 3(w + -2) Combine like terms: 7 + 2 = 9 9 + 8w + 4w = 3(w + -2) Combine like terms: 8w + 4w = 12w 9 + 12w = 3(w + -2) Reorder the terms: 9 + 12w = 3(-2 + w) 9 + 12w = (-2 * 3 + w * 3) 9 + 12w = (-6 + 3w) Solving 9 + 12w = -6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 9 + 12w + -3w = -6 + 3w + -3w Combine like terms: 12w + -3w = 9w 9 + 9w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 9 + 9w = -6 + 0 9 + 9w = -6 Add '-9' to each side of the equation. 9 + -9 + 9w = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 9w = -6 + -9 9w = -6 + -9 Combine like terms: -6 + -9 = -15 9w = -15 Divide each side by '9'. w = -1.666666667 Simplifying w = -1.666666667
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