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Simplifying 5(w + -4) + -1(1 + -8w) = 12w Reorder the terms: 5(-4 + w) + -1(1 + -8w) = 12w (-4 * 5 + w * 5) + -1(1 + -8w) = 12w (-20 + 5w) + -1(1 + -8w) = 12w -20 + 5w + (1 * -1 + -8w * -1) = 12w -20 + 5w + (-1 + 8w) = 12w Reorder the terms: -20 + -1 + 5w + 8w = 12w Combine like terms: -20 + -1 = -21 -21 + 5w + 8w = 12w Combine like terms: 5w + 8w = 13w -21 + 13w = 12w Solving -21 + 13w = 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. -21 + 13w + -12w = 12w + -12w Combine like terms: 13w + -12w = 1w -21 + 1w = 12w + -12w Combine like terms: 12w + -12w = 0 -21 + 1w = 0 Add '21' to each side of the equation. -21 + 21 + 1w = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 1w = 0 + 21 1w = 0 + 21 Combine like terms: 0 + 21 = 21 1w = 21 Divide each side by '1'. w = 21 Simplifying w = 21
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