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Simplifying 3(6 + w) = 2(w + -7) (6 * 3 + w * 3) = 2(w + -7) (18 + 3w) = 2(w + -7) Reorder the terms: 18 + 3w = 2(-7 + w) 18 + 3w = (-7 * 2 + w * 2) 18 + 3w = (-14 + 2w) Solving 18 + 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. 18 + 3w + -2w = -14 + 2w + -2w Combine like terms: 3w + -2w = 1w 18 + 1w = -14 + 2w + -2w Combine like terms: 2w + -2w = 0 18 + 1w = -14 + 0 18 + 1w = -14 Add '-18' to each side of the equation. 18 + -18 + 1w = -14 + -18 Combine like terms: 18 + -18 = 0 0 + 1w = -14 + -18 1w = -14 + -18 Combine like terms: -14 + -18 = -32 1w = -32 Divide each side by '1'. w = -32 Simplifying w = -32
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