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Simplifying 92 + -7 = 12w + -13 Combine like terms: 92 + -7 = 85 85 = 12w + -13 Reorder the terms: 85 = -13 + 12w Solving 85 = -13 + 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. 85 + -12w = -13 + 12w + -12w Combine like terms: 12w + -12w = 0 85 + -12w = -13 + 0 85 + -12w = -13 Add '-85' to each side of the equation. 85 + -85 + -12w = -13 + -85 Combine like terms: 85 + -85 = 0 0 + -12w = -13 + -85 -12w = -13 + -85 Combine like terms: -13 + -85 = -98 -12w = -98 Divide each side by '-12'. w = 8.166666667 Simplifying w = 8.166666667
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