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Simplifying 4(w + -5) = 3(w + 3) Reorder the terms: 4(-5 + w) = 3(w + 3) (-5 * 4 + w * 4) = 3(w + 3) (-20 + 4w) = 3(w + 3) Reorder the terms: -20 + 4w = 3(3 + w) -20 + 4w = (3 * 3 + w * 3) -20 + 4w = (9 + 3w) Solving -20 + 4w = 9 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -20 + 4w + -3w = 9 + 3w + -3w Combine like terms: 4w + -3w = 1w -20 + 1w = 9 + 3w + -3w Combine like terms: 3w + -3w = 0 -20 + 1w = 9 + 0 -20 + 1w = 9 Add '20' to each side of the equation. -20 + 20 + 1w = 9 + 20 Combine like terms: -20 + 20 = 0 0 + 1w = 9 + 20 1w = 9 + 20 Combine like terms: 9 + 20 = 29 1w = 29 Divide each side by '1'. w = 29 Simplifying w = 29
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