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Simplifying 3(w + 3) = -4(4w + -4) + 5w Reorder the terms: 3(3 + w) = -4(4w + -4) + 5w (3 * 3 + w * 3) = -4(4w + -4) + 5w (9 + 3w) = -4(4w + -4) + 5w Reorder the terms: 9 + 3w = -4(-4 + 4w) + 5w 9 + 3w = (-4 * -4 + 4w * -4) + 5w 9 + 3w = (16 + -16w) + 5w Combine like terms: -16w + 5w = -11w 9 + 3w = 16 + -11w Solving 9 + 3w = 16 + -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. 9 + 3w + 11w = 16 + -11w + 11w Combine like terms: 3w + 11w = 14w 9 + 14w = 16 + -11w + 11w Combine like terms: -11w + 11w = 0 9 + 14w = 16 + 0 9 + 14w = 16 Add '-9' to each side of the equation. 9 + -9 + 14w = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 14w = 16 + -9 14w = 16 + -9 Combine like terms: 16 + -9 = 7 14w = 7 Divide each side by '14'. w = 0.5 Simplifying w = 0.5
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