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Simplifying 3(w + -1) = 2(w + -7) Reorder the terms: 3(-1 + w) = 2(w + -7) (-1 * 3 + w * 3) = 2(w + -7) (-3 + 3w) = 2(w + -7) Reorder the terms: -3 + 3w = 2(-7 + w) -3 + 3w = (-7 * 2 + w * 2) -3 + 3w = (-14 + 2w) Solving -3 + 3w = -14 + 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 = -14 + 2w + -2w Combine like terms: 3w + -2w = 1w -3 + 1w = -14 + 2w + -2w Combine like terms: 2w + -2w = 0 -3 + 1w = -14 + 0 -3 + 1w = -14 Add '3' to each side of the equation. -3 + 3 + 1w = -14 + 3 Combine like terms: -3 + 3 = 0 0 + 1w = -14 + 3 1w = -14 + 3 Combine like terms: -14 + 3 = -11 1w = -11 Divide each side by '1'. w = -11 Simplifying w = -11
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