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Simplifying 8w + 3 + -2(-2w + -2) = 2(w + -4) Reorder the terms: 8w + 3 + -2(-2 + -2w) = 2(w + -4) 8w + 3 + (-2 * -2 + -2w * -2) = 2(w + -4) 8w + 3 + (4 + 4w) = 2(w + -4) Reorder the terms: 3 + 4 + 8w + 4w = 2(w + -4) Combine like terms: 3 + 4 = 7 7 + 8w + 4w = 2(w + -4) Combine like terms: 8w + 4w = 12w 7 + 12w = 2(w + -4) Reorder the terms: 7 + 12w = 2(-4 + w) 7 + 12w = (-4 * 2 + w * 2) 7 + 12w = (-8 + 2w) Solving 7 + 12w = -8 + 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. 7 + 12w + -2w = -8 + 2w + -2w Combine like terms: 12w + -2w = 10w 7 + 10w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 7 + 10w = -8 + 0 7 + 10w = -8 Add '-7' to each side of the equation. 7 + -7 + 10w = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 10w = -8 + -7 10w = -8 + -7 Combine like terms: -8 + -7 = -15 10w = -15 Divide each side by '10'. w = -1.5 Simplifying w = -1.5
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