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Simplifying 8w + 1 + -3(-4w + -4) = 2(w + -1) Reorder the terms: 8w + 1 + -3(-4 + -4w) = 2(w + -1) 8w + 1 + (-4 * -3 + -4w * -3) = 2(w + -1) 8w + 1 + (12 + 12w) = 2(w + -1) Reorder the terms: 1 + 12 + 8w + 12w = 2(w + -1) Combine like terms: 1 + 12 = 13 13 + 8w + 12w = 2(w + -1) Combine like terms: 8w + 12w = 20w 13 + 20w = 2(w + -1) Reorder the terms: 13 + 20w = 2(-1 + w) 13 + 20w = (-1 * 2 + w * 2) 13 + 20w = (-2 + 2w) Solving 13 + 20w = -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. 13 + 20w + -2w = -2 + 2w + -2w Combine like terms: 20w + -2w = 18w 13 + 18w = -2 + 2w + -2w Combine like terms: 2w + -2w = 0 13 + 18w = -2 + 0 13 + 18w = -2 Add '-13' to each side of the equation. 13 + -13 + 18w = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 18w = -2 + -13 18w = -2 + -13 Combine like terms: -2 + -13 = -15 18w = -15 Divide each side by '18'. w = -0.8333333333 Simplifying w = -0.8333333333
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