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Simplifying 5c + 13 = 9c + -7 Reorder the terms: 13 + 5c = 9c + -7 Reorder the terms: 13 + 5c = -7 + 9c Solving 13 + 5c = -7 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 13 + 5c + -9c = -7 + 9c + -9c Combine like terms: 5c + -9c = -4c 13 + -4c = -7 + 9c + -9c Combine like terms: 9c + -9c = 0 13 + -4c = -7 + 0 13 + -4c = -7 Add '-13' to each side of the equation. 13 + -13 + -4c = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -4c = -7 + -13 -4c = -7 + -13 Combine like terms: -7 + -13 = -20 -4c = -20 Divide each side by '-4'. c = 5 Simplifying c = 5
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