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Simplifying (c + -9) = 6(2c + -12) + -3c Reorder the terms: (-9 + c) = 6(2c + -12) + -3c Remove parenthesis around (-9 + c) -9 + c = 6(2c + -12) + -3c Reorder the terms: -9 + c = 6(-12 + 2c) + -3c -9 + c = (-12 * 6 + 2c * 6) + -3c -9 + c = (-72 + 12c) + -3c Combine like terms: 12c + -3c = 9c -9 + c = -72 + 9c Solving -9 + c = -72 + 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. -9 + c + -9c = -72 + 9c + -9c Combine like terms: c + -9c = -8c -9 + -8c = -72 + 9c + -9c Combine like terms: 9c + -9c = 0 -9 + -8c = -72 + 0 -9 + -8c = -72 Add '9' to each side of the equation. -9 + 9 + -8c = -72 + 9 Combine like terms: -9 + 9 = 0 0 + -8c = -72 + 9 -8c = -72 + 9 Combine like terms: -72 + 9 = -63 -8c = -63 Divide each side by '-8'. c = 7.875 Simplifying c = 7.875
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