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Simplifying 5(w + -8) + -1(8 + -8w) = 12w Reorder the terms: 5(-8 + w) + -1(8 + -8w) = 12w (-8 * 5 + w * 5) + -1(8 + -8w) = 12w (-40 + 5w) + -1(8 + -8w) = 12w -40 + 5w + (8 * -1 + -8w * -1) = 12w -40 + 5w + (-8 + 8w) = 12w Reorder the terms: -40 + -8 + 5w + 8w = 12w Combine like terms: -40 + -8 = -48 -48 + 5w + 8w = 12w Combine like terms: 5w + 8w = 13w -48 + 13w = 12w Solving -48 + 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. -48 + 13w + -12w = 12w + -12w Combine like terms: 13w + -12w = 1w -48 + 1w = 12w + -12w Combine like terms: 12w + -12w = 0 -48 + 1w = 0 Add '48' to each side of the equation. -48 + 48 + 1w = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 1w = 0 + 48 1w = 0 + 48 Combine like terms: 0 + 48 = 48 1w = 48 Divide each side by '1'. w = 48 Simplifying w = 48
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