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Simplifying 3(w + 4) = -3(4w + -3) + 9w Reorder the terms: 3(4 + w) = -3(4w + -3) + 9w (4 * 3 + w * 3) = -3(4w + -3) + 9w (12 + 3w) = -3(4w + -3) + 9w Reorder the terms: 12 + 3w = -3(-3 + 4w) + 9w 12 + 3w = (-3 * -3 + 4w * -3) + 9w 12 + 3w = (9 + -12w) + 9w Combine like terms: -12w + 9w = -3w 12 + 3w = 9 + -3w Solving 12 + 3w = 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. 12 + 3w + 3w = 9 + -3w + 3w Combine like terms: 3w + 3w = 6w 12 + 6w = 9 + -3w + 3w Combine like terms: -3w + 3w = 0 12 + 6w = 9 + 0 12 + 6w = 9 Add '-12' to each side of the equation. 12 + -12 + 6w = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 6w = 9 + -12 6w = 9 + -12 Combine like terms: 9 + -12 = -3 6w = -3 Divide each side by '6'. w = -0.5 Simplifying w = -0.5
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