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Simplifying 5c + 1 = 3c + -1(-5) Reorder the terms: 1 + 5c = 3c + -1(-5) Multiply -1 * -5 1 + 5c = 3c + 5 Reorder the terms: 1 + 5c = 5 + 3c Solving 1 + 5c = 5 + 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. 1 + 5c + -3c = 5 + 3c + -3c Combine like terms: 5c + -3c = 2c 1 + 2c = 5 + 3c + -3c Combine like terms: 3c + -3c = 0 1 + 2c = 5 + 0 1 + 2c = 5 Add '-1' to each side of the equation. 1 + -1 + 2c = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 2c = 5 + -1 2c = 5 + -1 Combine like terms: 5 + -1 = 4 2c = 4 Divide each side by '2'. c = 2 Simplifying c = 2
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