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Simplifying 3(w + 3) = 2w + -6 Reorder the terms: 3(3 + w) = 2w + -6 (3 * 3 + w * 3) = 2w + -6 (9 + 3w) = 2w + -6 Reorder the terms: 9 + 3w = -6 + 2w Solving 9 + 3w = -6 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 9 + 3w + -2w = -6 + 2w + -2w Combine like terms: 3w + -2w = 1w 9 + 1w = -6 + 2w + -2w Combine like terms: 2w + -2w = 0 9 + 1w = -6 + 0 9 + 1w = -6 Add '-9' to each side of the equation. 9 + -9 + 1w = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 1w = -6 + -9 1w = -6 + -9 Combine like terms: -6 + -9 = -15 1w = -15 Divide each side by '1'. w = -15 Simplifying w = -15
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