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Simplifying 3(c + -5) + 5 = 3 + c + -13 Reorder the terms: 3(-5 + c) + 5 = 3 + c + -13 (-5 * 3 + c * 3) + 5 = 3 + c + -13 (-15 + 3c) + 5 = 3 + c + -13 Reorder the terms: -15 + 5 + 3c = 3 + c + -13 Combine like terms: -15 + 5 = -10 -10 + 3c = 3 + c + -13 Reorder the terms: -10 + 3c = 3 + -13 + c Combine like terms: 3 + -13 = -10 -10 + 3c = -10 + c Add '10' to each side of the equation. -10 + 10 + 3c = -10 + 10 + c Combine like terms: -10 + 10 = 0 0 + 3c = -10 + 10 + c 3c = -10 + 10 + c Combine like terms: -10 + 10 = 0 3c = 0 + c 3c = c Solving 3c = c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 3c + -1c = c + -1c Combine like terms: 3c + -1c = 2c 2c = c + -1c Combine like terms: c + -1c = 0 2c = 0 Divide each side by '2'. c = 0 Simplifying c = 0
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