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Simplifying 216 + 12w = 312 + 4w Solving 216 + 12w = 312 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 216 + 12w + -4w = 312 + 4w + -4w Combine like terms: 12w + -4w = 8w 216 + 8w = 312 + 4w + -4w Combine like terms: 4w + -4w = 0 216 + 8w = 312 + 0 216 + 8w = 312 Add '-216' to each side of the equation. 216 + -216 + 8w = 312 + -216 Combine like terms: 216 + -216 = 0 0 + 8w = 312 + -216 8w = 312 + -216 Combine like terms: 312 + -216 = 96 8w = 96 Divide each side by '8'. w = 12 Simplifying w = 12
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