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Simplifying -6 = 3(w + 4) + 6w Reorder the terms: -6 = 3(4 + w) + 6w -6 = (4 * 3 + w * 3) + 6w -6 = (12 + 3w) + 6w Combine like terms: 3w + 6w = 9w -6 = 12 + 9w Solving -6 = 12 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -6 + -9w = 12 + 9w + -9w Combine like terms: 9w + -9w = 0 -6 + -9w = 12 + 0 -6 + -9w = 12 Add '6' to each side of the equation. -6 + 6 + -9w = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -9w = 12 + 6 -9w = 12 + 6 Combine like terms: 12 + 6 = 18 -9w = 18 Divide each side by '-9'. w = -2 Simplifying w = -2
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