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Simplifying 3(w + 8) = 2w + -7 Reorder the terms: 3(8 + w) = 2w + -7 (8 * 3 + w * 3) = 2w + -7 (24 + 3w) = 2w + -7 Reorder the terms: 24 + 3w = -7 + 2w Solving 24 + 3w = -7 + 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. 24 + 3w + -2w = -7 + 2w + -2w Combine like terms: 3w + -2w = 1w 24 + 1w = -7 + 2w + -2w Combine like terms: 2w + -2w = 0 24 + 1w = -7 + 0 24 + 1w = -7 Add '-24' to each side of the equation. 24 + -24 + 1w = -7 + -24 Combine like terms: 24 + -24 = 0 0 + 1w = -7 + -24 1w = -7 + -24 Combine like terms: -7 + -24 = -31 1w = -31 Divide each side by '1'. w = -31 Simplifying w = -31
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