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Simplifying 4(w + 5) + -10 = 2(w + 8) Reorder the terms: 4(5 + w) + -10 = 2(w + 8) (5 * 4 + w * 4) + -10 = 2(w + 8) (20 + 4w) + -10 = 2(w + 8) Reorder the terms: 20 + -10 + 4w = 2(w + 8) Combine like terms: 20 + -10 = 10 10 + 4w = 2(w + 8) Reorder the terms: 10 + 4w = 2(8 + w) 10 + 4w = (8 * 2 + w * 2) 10 + 4w = (16 + 2w) Solving 10 + 4w = 16 + 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. 10 + 4w + -2w = 16 + 2w + -2w Combine like terms: 4w + -2w = 2w 10 + 2w = 16 + 2w + -2w Combine like terms: 2w + -2w = 0 10 + 2w = 16 + 0 10 + 2w = 16 Add '-10' to each side of the equation. 10 + -10 + 2w = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 2w = 16 + -10 2w = 16 + -10 Combine like terms: 16 + -10 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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