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Simplifying 3 + 4(w + 1) = 5w + -9 Reorder the terms: 3 + 4(1 + w) = 5w + -9 3 + (1 * 4 + w * 4) = 5w + -9 3 + (4 + 4w) = 5w + -9 Combine like terms: 3 + 4 = 7 7 + 4w = 5w + -9 Reorder the terms: 7 + 4w = -9 + 5w Solving 7 + 4w = -9 + 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. 7 + 4w + -5w = -9 + 5w + -5w Combine like terms: 4w + -5w = -1w 7 + -1w = -9 + 5w + -5w Combine like terms: 5w + -5w = 0 7 + -1w = -9 + 0 7 + -1w = -9 Add '-7' to each side of the equation. 7 + -7 + -1w = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = -9 + -7 -1w = -9 + -7 Combine like terms: -9 + -7 = -16 -1w = -16 Divide each side by '-1'. w = 16 Simplifying w = 16
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