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Simplifying 3c + -13 = 12c + 9 Reorder the terms: -13 + 3c = 12c + 9 Reorder the terms: -13 + 3c = 9 + 12c Solving -13 + 3c = 9 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -13 + 3c + -12c = 9 + 12c + -12c Combine like terms: 3c + -12c = -9c -13 + -9c = 9 + 12c + -12c Combine like terms: 12c + -12c = 0 -13 + -9c = 9 + 0 -13 + -9c = 9 Add '13' to each side of the equation. -13 + 13 + -9c = 9 + 13 Combine like terms: -13 + 13 = 0 0 + -9c = 9 + 13 -9c = 9 + 13 Combine like terms: 9 + 13 = 22 -9c = 22 Divide each side by '-9'. c = -2.444444444 Simplifying c = -2.444444444
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