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Simplifying c + 7 = 70 + -8c Reorder the terms: 7 + c = 70 + -8c Solving 7 + c = 70 + -8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8c' to each side of the equation. 7 + c + 8c = 70 + -8c + 8c Combine like terms: c + 8c = 9c 7 + 9c = 70 + -8c + 8c Combine like terms: -8c + 8c = 0 7 + 9c = 70 + 0 7 + 9c = 70 Add '-7' to each side of the equation. 7 + -7 + 9c = 70 + -7 Combine like terms: 7 + -7 = 0 0 + 9c = 70 + -7 9c = 70 + -7 Combine like terms: 70 + -7 = 63 9c = 63 Divide each side by '9'. c = 7 Simplifying c = 7
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