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Simplifying 100 = 2(4w + -5) + 2w Reorder the terms: 100 = 2(-5 + 4w) + 2w 100 = (-5 * 2 + 4w * 2) + 2w 100 = (-10 + 8w) + 2w Combine like terms: 8w + 2w = 10w 100 = -10 + 10w Solving 100 = -10 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 100 + -10w = -10 + 10w + -10w Combine like terms: 10w + -10w = 0 100 + -10w = -10 + 0 100 + -10w = -10 Add '-100' to each side of the equation. 100 + -100 + -10w = -10 + -100 Combine like terms: 100 + -100 = 0 0 + -10w = -10 + -100 -10w = -10 + -100 Combine like terms: -10 + -100 = -110 -10w = -110 Divide each side by '-10'. w = 11 Simplifying w = 11
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