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Simplifying 4(2w + -1) = 10(w + -5) Reorder the terms: 4(-1 + 2w) = 10(w + -5) (-1 * 4 + 2w * 4) = 10(w + -5) (-4 + 8w) = 10(w + -5) Reorder the terms: -4 + 8w = 10(-5 + w) -4 + 8w = (-5 * 10 + w * 10) -4 + 8w = (-50 + 10w) Solving -4 + 8w = -50 + 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. -4 + 8w + -10w = -50 + 10w + -10w Combine like terms: 8w + -10w = -2w -4 + -2w = -50 + 10w + -10w Combine like terms: 10w + -10w = 0 -4 + -2w = -50 + 0 -4 + -2w = -50 Add '4' to each side of the equation. -4 + 4 + -2w = -50 + 4 Combine like terms: -4 + 4 = 0 0 + -2w = -50 + 4 -2w = -50 + 4 Combine like terms: -50 + 4 = -46 -2w = -46 Divide each side by '-2'. w = 23 Simplifying w = 23
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