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Simplifying 3(w + -3) + -2(w + -3) = 7 Reorder the terms: 3(-3 + w) + -2(w + -3) = 7 (-3 * 3 + w * 3) + -2(w + -3) = 7 (-9 + 3w) + -2(w + -3) = 7 Reorder the terms: -9 + 3w + -2(-3 + w) = 7 -9 + 3w + (-3 * -2 + w * -2) = 7 -9 + 3w + (6 + -2w) = 7 Reorder the terms: -9 + 6 + 3w + -2w = 7 Combine like terms: -9 + 6 = -3 -3 + 3w + -2w = 7 Combine like terms: 3w + -2w = 1w -3 + 1w = 7 Solving -3 + 1w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1w = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 1w = 7 + 3 1w = 7 + 3 Combine like terms: 7 + 3 = 10 1w = 10 Divide each side by '1'. w = 10 Simplifying w = 10
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