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Simplifying 4(w + -6) = 13(w + 1) Reorder the terms: 4(-6 + w) = 13(w + 1) (-6 * 4 + w * 4) = 13(w + 1) (-24 + 4w) = 13(w + 1) Reorder the terms: -24 + 4w = 13(1 + w) -24 + 4w = (1 * 13 + w * 13) -24 + 4w = (13 + 13w) Solving -24 + 4w = 13 + 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 + 4w + -13w = 13 + 13w + -13w Combine like terms: 4w + -13w = -9w -24 + -9w = 13 + 13w + -13w Combine like terms: 13w + -13w = 0 -24 + -9w = 13 + 0 -24 + -9w = 13 Add '24' to each side of the equation. -24 + 24 + -9w = 13 + 24 Combine like terms: -24 + 24 = 0 0 + -9w = 13 + 24 -9w = 13 + 24 Combine like terms: 13 + 24 = 37 -9w = 37 Divide each side by '-9'. w = -4.111111111 Simplifying w = -4.111111111
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