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Simplifying 3(w + -1) = 2w + -6 Reorder the terms: 3(-1 + w) = 2w + -6 (-1 * 3 + w * 3) = 2w + -6 (-3 + 3w) = 2w + -6 Reorder the terms: -3 + 3w = -6 + 2w Solving -3 + 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. -3 + 3w + -2w = -6 + 2w + -2w Combine like terms: 3w + -2w = 1w -3 + 1w = -6 + 2w + -2w Combine like terms: 2w + -2w = 0 -3 + 1w = -6 + 0 -3 + 1w = -6 Add '3' to each side of the equation. -3 + 3 + 1w = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 1w = -6 + 3 1w = -6 + 3 Combine like terms: -6 + 3 = -3 1w = -3 Divide each side by '1'. w = -3 Simplifying w = -3
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