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Simplifying 3(w + -1) = 2w + -3 Reorder the terms: 3(-1 + w) = 2w + -3 (-1 * 3 + w * 3) = 2w + -3 (-3 + 3w) = 2w + -3 Reorder the terms: -3 + 3w = -3 + 2w Add '3' to each side of the equation. -3 + 3 + 3w = -3 + 3 + 2w Combine like terms: -3 + 3 = 0 0 + 3w = -3 + 3 + 2w 3w = -3 + 3 + 2w Combine like terms: -3 + 3 = 0 3w = 0 + 2w 3w = 2w Solving 3w = 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. 3w + -2w = 2w + -2w Combine like terms: 3w + -2w = 1w 1w = 2w + -2w Combine like terms: 2w + -2w = 0 1w = 0 Divide each side by '1'. w = 0 Simplifying w = 0
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