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Simplifying -4(w + -3) = 21 + 5w Reorder the terms: -4(-3 + w) = 21 + 5w (-3 * -4 + w * -4) = 21 + 5w (12 + -4w) = 21 + 5w Solving 12 + -4w = 21 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 12 + -4w + -5w = 21 + 5w + -5w Combine like terms: -4w + -5w = -9w 12 + -9w = 21 + 5w + -5w Combine like terms: 5w + -5w = 0 12 + -9w = 21 + 0 12 + -9w = 21 Add '-12' to each side of the equation. 12 + -12 + -9w = 21 + -12 Combine like terms: 12 + -12 = 0 0 + -9w = 21 + -12 -9w = 21 + -12 Combine like terms: 21 + -12 = 9 -9w = 9 Divide each side by '-9'. w = -1 Simplifying w = -1
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