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Simplifying 3(w + 7) + -5w = w + 12 Reorder the terms: 3(7 + w) + -5w = w + 12 (7 * 3 + w * 3) + -5w = w + 12 (21 + 3w) + -5w = w + 12 Combine like terms: 3w + -5w = -2w 21 + -2w = w + 12 Reorder the terms: 21 + -2w = 12 + w Solving 21 + -2w = 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. 21 + -2w + -1w = 12 + w + -1w Combine like terms: -2w + -1w = -3w 21 + -3w = 12 + w + -1w Combine like terms: w + -1w = 0 21 + -3w = 12 + 0 21 + -3w = 12 Add '-21' to each side of the equation. 21 + -21 + -3w = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -3w = 12 + -21 -3w = 12 + -21 Combine like terms: 12 + -21 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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