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Simplifying 4(w + 3) = w + -9 Reorder the terms: 4(3 + w) = w + -9 (3 * 4 + w * 4) = w + -9 (12 + 4w) = w + -9 Reorder the terms: 12 + 4w = -9 + w Solving 12 + 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. 12 + 4w + -1w = -9 + w + -1w Combine like terms: 4w + -1w = 3w 12 + 3w = -9 + w + -1w Combine like terms: w + -1w = 0 12 + 3w = -9 + 0 12 + 3w = -9 Add '-12' to each side of the equation. 12 + -12 + 3w = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 3w = -9 + -12 3w = -9 + -12 Combine like terms: -9 + -12 = -21 3w = -21 Divide each side by '3'. w = -7 Simplifying w = -7
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