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Simplifying 9c + 7 = 12c + 15 Reorder the terms: 7 + 9c = 12c + 15 Reorder the terms: 7 + 9c = 15 + 12c Solving 7 + 9c = 15 + 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. 7 + 9c + -12c = 15 + 12c + -12c Combine like terms: 9c + -12c = -3c 7 + -3c = 15 + 12c + -12c Combine like terms: 12c + -12c = 0 7 + -3c = 15 + 0 7 + -3c = 15 Add '-7' to each side of the equation. 7 + -7 + -3c = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -3c = 15 + -7 -3c = 15 + -7 Combine like terms: 15 + -7 = 8 -3c = 8 Divide each side by '-3'. c = -2.666666667 Simplifying c = -2.666666667
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