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Simplifying 18 + -1(3w + -8) + 17w = 8(3w + 2) Reorder the terms: 18 + -1(-8 + 3w) + 17w = 8(3w + 2) 18 + (-8 * -1 + 3w * -1) + 17w = 8(3w + 2) 18 + (8 + -3w) + 17w = 8(3w + 2) Combine like terms: 18 + 8 = 26 26 + -3w + 17w = 8(3w + 2) Combine like terms: -3w + 17w = 14w 26 + 14w = 8(3w + 2) Reorder the terms: 26 + 14w = 8(2 + 3w) 26 + 14w = (2 * 8 + 3w * 8) 26 + 14w = (16 + 24w) Solving 26 + 14w = 16 + 24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24w' to each side of the equation. 26 + 14w + -24w = 16 + 24w + -24w Combine like terms: 14w + -24w = -10w 26 + -10w = 16 + 24w + -24w Combine like terms: 24w + -24w = 0 26 + -10w = 16 + 0 26 + -10w = 16 Add '-26' to each side of the equation. 26 + -26 + -10w = 16 + -26 Combine like terms: 26 + -26 = 0 0 + -10w = 16 + -26 -10w = 16 + -26 Combine like terms: 16 + -26 = -10 -10w = -10 Divide each side by '-10'. w = 1 Simplifying w = 1
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