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Simplifying w + -8 + 2(2w + 8) = -7(w + 1) Reorder the terms: w + -8 + 2(8 + 2w) = -7(w + 1) w + -8 + (8 * 2 + 2w * 2) = -7(w + 1) w + -8 + (16 + 4w) = -7(w + 1) Reorder the terms: -8 + 16 + w + 4w = -7(w + 1) Combine like terms: -8 + 16 = 8 8 + w + 4w = -7(w + 1) Combine like terms: w + 4w = 5w 8 + 5w = -7(w + 1) Reorder the terms: 8 + 5w = -7(1 + w) 8 + 5w = (1 * -7 + w * -7) 8 + 5w = (-7 + -7w) Solving 8 + 5w = -7 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 8 + 5w + 7w = -7 + -7w + 7w Combine like terms: 5w + 7w = 12w 8 + 12w = -7 + -7w + 7w Combine like terms: -7w + 7w = 0 8 + 12w = -7 + 0 8 + 12w = -7 Add '-8' to each side of the equation. 8 + -8 + 12w = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 12w = -7 + -8 12w = -7 + -8 Combine like terms: -7 + -8 = -15 12w = -15 Divide each side by '12'. w = -1.25 Simplifying w = -1.25
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