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Simplifying 7c + 10 = 70 + -5c Reorder the terms: 10 + 7c = 70 + -5c Solving 10 + 7c = 70 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. 10 + 7c + 5c = 70 + -5c + 5c Combine like terms: 7c + 5c = 12c 10 + 12c = 70 + -5c + 5c Combine like terms: -5c + 5c = 0 10 + 12c = 70 + 0 10 + 12c = 70 Add '-10' to each side of the equation. 10 + -10 + 12c = 70 + -10 Combine like terms: 10 + -10 = 0 0 + 12c = 70 + -10 12c = 70 + -10 Combine like terms: 70 + -10 = 60 12c = 60 Divide each side by '12'. c = 5 Simplifying c = 5
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