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Simplifying 8(c + -9) = 6(2c + -12) + -14c Reorder the terms: 8(-9 + c) = 6(2c + -12) + -14c (-9 * 8 + c * 8) = 6(2c + -12) + -14c (-72 + 8c) = 6(2c + -12) + -14c Reorder the terms: -72 + 8c = 6(-12 + 2c) + -14c -72 + 8c = (-12 * 6 + 2c * 6) + -14c -72 + 8c = (-72 + 12c) + -14c Combine like terms: 12c + -14c = -2c -72 + 8c = -72 + -2c Add '72' to each side of the equation. -72 + 72 + 8c = -72 + 72 + -2c Combine like terms: -72 + 72 = 0 0 + 8c = -72 + 72 + -2c 8c = -72 + 72 + -2c Combine like terms: -72 + 72 = 0 8c = 0 + -2c 8c = -2c Solving 8c = -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. 8c + 2c = -2c + 2c Combine like terms: 8c + 2c = 10c 10c = -2c + 2c Combine like terms: -2c + 2c = 0 10c = 0 Divide each side by '10'. c = 0.0 Simplifying c = 0.0
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