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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 = 3 1w = 3 Divide each side by '1'. w = 3 Simplifying w = 3
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