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Simplifying -3w + -9 = 6(w + 3) Reorder the terms: -9 + -3w = 6(w + 3) Reorder the terms: -9 + -3w = 6(3 + w) -9 + -3w = (3 * 6 + w * 6) -9 + -3w = (18 + 6w) Solving -9 + -3w = 18 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -9 + -3w + -6w = 18 + 6w + -6w Combine like terms: -3w + -6w = -9w -9 + -9w = 18 + 6w + -6w Combine like terms: 6w + -6w = 0 -9 + -9w = 18 + 0 -9 + -9w = 18 Add '9' to each side of the equation. -9 + 9 + -9w = 18 + 9 Combine like terms: -9 + 9 = 0 0 + -9w = 18 + 9 -9w = 18 + 9 Combine like terms: 18 + 9 = 27 -9w = 27 Divide each side by '-9'. w = -3 Simplifying w = -3
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