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Simplifying -4(2w + -1) = 10 + -4w Reorder the terms: -4(-1 + 2w) = 10 + -4w (-1 * -4 + 2w * -4) = 10 + -4w (4 + -8w) = 10 + -4w Solving 4 + -8w = 10 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 4 + -8w + 4w = 10 + -4w + 4w Combine like terms: -8w + 4w = -4w 4 + -4w = 10 + -4w + 4w Combine like terms: -4w + 4w = 0 4 + -4w = 10 + 0 4 + -4w = 10 Add '-4' to each side of the equation. 4 + -4 + -4w = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -4w = 10 + -4 -4w = 10 + -4 Combine like terms: 10 + -4 = 6 -4w = 6 Divide each side by '-4'. w = -1.5 Simplifying w = -1.5
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