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Simplifying 3(w + 8) = -4(4w + -3) + 9w Reorder the terms: 3(8 + w) = -4(4w + -3) + 9w (8 * 3 + w * 3) = -4(4w + -3) + 9w (24 + 3w) = -4(4w + -3) + 9w Reorder the terms: 24 + 3w = -4(-3 + 4w) + 9w 24 + 3w = (-3 * -4 + 4w * -4) + 9w 24 + 3w = (12 + -16w) + 9w Combine like terms: -16w + 9w = -7w 24 + 3w = 12 + -7w Solving 24 + 3w = 12 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 24 + 3w + 7w = 12 + -7w + 7w Combine like terms: 3w + 7w = 10w 24 + 10w = 12 + -7w + 7w Combine like terms: -7w + 7w = 0 24 + 10w = 12 + 0 24 + 10w = 12 Add '-24' to each side of the equation. 24 + -24 + 10w = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 10w = 12 + -24 10w = 12 + -24 Combine like terms: 12 + -24 = -12 10w = -12 Divide each side by '10'. w = -1.2 Simplifying w = -1.2
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