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Simplifying 78 = 5w + -12 Reorder the terms: 78 = -12 + 5w Solving 78 = -12 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 78 + -5w = -12 + 5w + -5w Combine like terms: 5w + -5w = 0 78 + -5w = -12 + 0 78 + -5w = -12 Add '-78' to each side of the equation. 78 + -78 + -5w = -12 + -78 Combine like terms: 78 + -78 = 0 0 + -5w = -12 + -78 -5w = -12 + -78 Combine like terms: -12 + -78 = -90 -5w = -90 Divide each side by '-5'. w = 18 Simplifying w = 18
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