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Simplifying 4(w + 6) = -7(3w + -2) + 9w Reorder the terms: 4(6 + w) = -7(3w + -2) + 9w (6 * 4 + w * 4) = -7(3w + -2) + 9w (24 + 4w) = -7(3w + -2) + 9w Reorder the terms: 24 + 4w = -7(-2 + 3w) + 9w 24 + 4w = (-2 * -7 + 3w * -7) + 9w 24 + 4w = (14 + -21w) + 9w Combine like terms: -21w + 9w = -12w 24 + 4w = 14 + -12w Solving 24 + 4w = 14 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 24 + 4w + 12w = 14 + -12w + 12w Combine like terms: 4w + 12w = 16w 24 + 16w = 14 + -12w + 12w Combine like terms: -12w + 12w = 0 24 + 16w = 14 + 0 24 + 16w = 14 Add '-24' to each side of the equation. 24 + -24 + 16w = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 16w = 14 + -24 16w = 14 + -24 Combine like terms: 14 + -24 = -10 16w = -10 Divide each side by '16'. w = -0.625 Simplifying w = -0.625
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