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Simplifying 3(w + 7) + -5 = w + 12 Reorder the terms: 3(7 + w) + -5 = w + 12 (7 * 3 + w * 3) + -5 = w + 12 (21 + 3w) + -5 = w + 12 Reorder the terms: 21 + -5 + 3w = w + 12 Combine like terms: 21 + -5 = 16 16 + 3w = w + 12 Reorder the terms: 16 + 3w = 12 + w Solving 16 + 3w = 12 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 16 + 3w + -1w = 12 + w + -1w Combine like terms: 3w + -1w = 2w 16 + 2w = 12 + w + -1w Combine like terms: w + -1w = 0 16 + 2w = 12 + 0 16 + 2w = 12 Add '-16' to each side of the equation. 16 + -16 + 2w = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 2w = 12 + -16 2w = 12 + -16 Combine like terms: 12 + -16 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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