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Simplifying 3 = 4(w + -6) + -7w Reorder the terms: 3 = 4(-6 + w) + -7w 3 = (-6 * 4 + w * 4) + -7w 3 = (-24 + 4w) + -7w Combine like terms: 4w + -7w = -3w 3 = -24 + -3w Solving 3 = -24 + -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. 3 + 3w = -24 + -3w + 3w Combine like terms: -3w + 3w = 0 3 + 3w = -24 + 0 3 + 3w = -24 Add '-3' to each side of the equation. 3 + -3 + 3w = -24 + -3 Combine like terms: 3 + -3 = 0 0 + 3w = -24 + -3 3w = -24 + -3 Combine like terms: -24 + -3 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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