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Simplifying 18 + -2(2w + 1) = 10w + -2(10 + w) Reorder the terms: 18 + -2(1 + 2w) = 10w + -2(10 + w) 18 + (1 * -2 + 2w * -2) = 10w + -2(10 + w) 18 + (-2 + -4w) = 10w + -2(10 + w) Combine like terms: 18 + -2 = 16 16 + -4w = 10w + -2(10 + w) 16 + -4w = 10w + (10 * -2 + w * -2) 16 + -4w = 10w + (-20 + -2w) Reorder the terms: 16 + -4w = -20 + 10w + -2w Combine like terms: 10w + -2w = 8w 16 + -4w = -20 + 8w Solving 16 + -4w = -20 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 16 + -4w + -8w = -20 + 8w + -8w Combine like terms: -4w + -8w = -12w 16 + -12w = -20 + 8w + -8w Combine like terms: 8w + -8w = 0 16 + -12w = -20 + 0 16 + -12w = -20 Add '-16' to each side of the equation. 16 + -16 + -12w = -20 + -16 Combine like terms: 16 + -16 = 0 0 + -12w = -20 + -16 -12w = -20 + -16 Combine like terms: -20 + -16 = -36 -12w = -36 Divide each side by '-12'. w = 3 Simplifying w = 3
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