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Simplifying 5c + 12 = 7c + 10 Reorder the terms: 12 + 5c = 7c + 10 Reorder the terms: 12 + 5c = 10 + 7c Solving 12 + 5c = 10 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 12 + 5c + -7c = 10 + 7c + -7c Combine like terms: 5c + -7c = -2c 12 + -2c = 10 + 7c + -7c Combine like terms: 7c + -7c = 0 12 + -2c = 10 + 0 12 + -2c = 10 Add '-12' to each side of the equation. 12 + -12 + -2c = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -2c = 10 + -12 -2c = 10 + -12 Combine like terms: 10 + -12 = -2 -2c = -2 Divide each side by '-2'. c = 1 Simplifying c = 1
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