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Simplifying 5c + -13 = 7c + 15 Reorder the terms: -13 + 5c = 7c + 15 Reorder the terms: -13 + 5c = 15 + 7c Solving -13 + 5c = 15 + 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. -13 + 5c + -7c = 15 + 7c + -7c Combine like terms: 5c + -7c = -2c -13 + -2c = 15 + 7c + -7c Combine like terms: 7c + -7c = 0 -13 + -2c = 15 + 0 -13 + -2c = 15 Add '13' to each side of the equation. -13 + 13 + -2c = 15 + 13 Combine like terms: -13 + 13 = 0 0 + -2c = 15 + 13 -2c = 15 + 13 Combine like terms: 15 + 13 = 28 -2c = 28 Divide each side by '-2'. c = -14 Simplifying c = -14
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