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Simplifying 9(c + -9) = 6(2c + -12) + -4c Reorder the terms: 9(-9 + c) = 6(2c + -12) + -4c (-9 * 9 + c * 9) = 6(2c + -12) + -4c (-81 + 9c) = 6(2c + -12) + -4c Reorder the terms: -81 + 9c = 6(-12 + 2c) + -4c -81 + 9c = (-12 * 6 + 2c * 6) + -4c -81 + 9c = (-72 + 12c) + -4c Combine like terms: 12c + -4c = 8c -81 + 9c = -72 + 8c Solving -81 + 9c = -72 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -81 + 9c + -8c = -72 + 8c + -8c Combine like terms: 9c + -8c = 1c -81 + 1c = -72 + 8c + -8c Combine like terms: 8c + -8c = 0 -81 + 1c = -72 + 0 -81 + 1c = -72 Add '81' to each side of the equation. -81 + 81 + 1c = -72 + 81 Combine like terms: -81 + 81 = 0 0 + 1c = -72 + 81 1c = -72 + 81 Combine like terms: -72 + 81 = 9 1c = 9 Divide each side by '1'. c = 9 Simplifying c = 9
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