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Simplifying 7c + 10 = 3c + 70 Reorder the terms: 10 + 7c = 3c + 70 Reorder the terms: 10 + 7c = 70 + 3c Solving 10 + 7c = 70 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 10 + 7c + -3c = 70 + 3c + -3c Combine like terms: 7c + -3c = 4c 10 + 4c = 70 + 3c + -3c Combine like terms: 3c + -3c = 0 10 + 4c = 70 + 0 10 + 4c = 70 Add '-10' to each side of the equation. 10 + -10 + 4c = 70 + -10 Combine like terms: 10 + -10 = 0 0 + 4c = 70 + -10 4c = 70 + -10 Combine like terms: 70 + -10 = 60 4c = 60 Divide each side by '4'. c = 15 Simplifying c = 15
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