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Simplifying 7w + 15 = 12w Reorder the terms: 15 + 7w = 12w Solving 15 + 7w = 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 15 + 7w + -12w = 12w + -12w Combine like terms: 7w + -12w = -5w 15 + -5w = 12w + -12w Combine like terms: 12w + -12w = 0 15 + -5w = 0 Add '-15' to each side of the equation. 15 + -15 + -5w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -5w = 0 + -15 -5w = 0 + -15 Combine like terms: 0 + -15 = -15 -5w = -15 Divide each side by '-5'. w = 3 Simplifying w = 3
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