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Simplifying 4(7 + w) = (w + -9) (7 * 4 + w * 4) = (w + -9) (28 + 4w) = (w + -9) Reorder the terms: 28 + 4w = (-9 + w) Remove parenthesis around (-9 + w) 28 + 4w = -9 + w Solving 28 + 4w = -9 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 28 + 4w + -1w = -9 + w + -1w Combine like terms: 4w + -1w = 3w 28 + 3w = -9 + w + -1w Combine like terms: w + -1w = 0 28 + 3w = -9 + 0 28 + 3w = -9 Add '-28' to each side of the equation. 28 + -28 + 3w = -9 + -28 Combine like terms: 28 + -28 = 0 0 + 3w = -9 + -28 3w = -9 + -28 Combine like terms: -9 + -28 = -37 3w = -37 Divide each side by '3'. w = -12.33333333 Simplifying w = -12.33333333
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