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Simplifying 4(w + -7) = -9w + 24 Reorder the terms: 4(-7 + w) = -9w + 24 (-7 * 4 + w * 4) = -9w + 24 (-28 + 4w) = -9w + 24 Reorder the terms: -28 + 4w = 24 + -9w Solving -28 + 4w = 24 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -28 + 4w + 9w = 24 + -9w + 9w Combine like terms: 4w + 9w = 13w -28 + 13w = 24 + -9w + 9w Combine like terms: -9w + 9w = 0 -28 + 13w = 24 + 0 -28 + 13w = 24 Add '28' to each side of the equation. -28 + 28 + 13w = 24 + 28 Combine like terms: -28 + 28 = 0 0 + 13w = 24 + 28 13w = 24 + 28 Combine like terms: 24 + 28 = 52 13w = 52 Divide each side by '13'. w = 4 Simplifying w = 4
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