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Simplifying 4(w + 8) = 5(w + -3) Reorder the terms: 4(8 + w) = 5(w + -3) (8 * 4 + w * 4) = 5(w + -3) (32 + 4w) = 5(w + -3) Reorder the terms: 32 + 4w = 5(-3 + w) 32 + 4w = (-3 * 5 + w * 5) 32 + 4w = (-15 + 5w) Solving 32 + 4w = -15 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 32 + 4w + -5w = -15 + 5w + -5w Combine like terms: 4w + -5w = -1w 32 + -1w = -15 + 5w + -5w Combine like terms: 5w + -5w = 0 32 + -1w = -15 + 0 32 + -1w = -15 Add '-32' to each side of the equation. 32 + -32 + -1w = -15 + -32 Combine like terms: 32 + -32 = 0 0 + -1w = -15 + -32 -1w = -15 + -32 Combine like terms: -15 + -32 = -47 -1w = -47 Divide each side by '-1'. w = 47 Simplifying w = 47
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