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Simplifying 5c + -13 = 43 + -2c Reorder the terms: -13 + 5c = 43 + -2c Solving -13 + 5c = 43 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. -13 + 5c + 2c = 43 + -2c + 2c Combine like terms: 5c + 2c = 7c -13 + 7c = 43 + -2c + 2c Combine like terms: -2c + 2c = 0 -13 + 7c = 43 + 0 -13 + 7c = 43 Add '13' to each side of the equation. -13 + 13 + 7c = 43 + 13 Combine like terms: -13 + 13 = 0 0 + 7c = 43 + 13 7c = 43 + 13 Combine like terms: 43 + 13 = 56 7c = 56 Divide each side by '7'. c = 8 Simplifying c = 8
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