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Simplifying 8(w + -3) = 4w + 9w + -14 Reorder the terms: 8(-3 + w) = 4w + 9w + -14 (-3 * 8 + w * 8) = 4w + 9w + -14 (-24 + 8w) = 4w + 9w + -14 Reorder the terms: -24 + 8w = -14 + 4w + 9w Combine like terms: 4w + 9w = 13w -24 + 8w = -14 + 13w Solving -24 + 8w = -14 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -24 + 8w + -13w = -14 + 13w + -13w Combine like terms: 8w + -13w = -5w -24 + -5w = -14 + 13w + -13w Combine like terms: 13w + -13w = 0 -24 + -5w = -14 + 0 -24 + -5w = -14 Add '24' to each side of the equation. -24 + 24 + -5w = -14 + 24 Combine like terms: -24 + 24 = 0 0 + -5w = -14 + 24 -5w = -14 + 24 Combine like terms: -14 + 24 = 10 -5w = 10 Divide each side by '-5'. w = -2 Simplifying w = -2
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