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Simplifying 78 = 7w + -12 Reorder the terms: 78 = -12 + 7w Solving 78 = -12 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 78 + -7w = -12 + 7w + -7w Combine like terms: 7w + -7w = 0 78 + -7w = -12 + 0 78 + -7w = -12 Add '-78' to each side of the equation. 78 + -78 + -7w = -12 + -78 Combine like terms: 78 + -78 = 0 0 + -7w = -12 + -78 -7w = -12 + -78 Combine like terms: -12 + -78 = -90 -7w = -90 Divide each side by '-7'. w = 12.85714286 Simplifying w = 12.85714286
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