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Simplifying 8(c + -9) = 6(2c + -12 + -4c) Reorder the terms: 8(-9 + c) = 6(2c + -12 + -4c) (-9 * 8 + c * 8) = 6(2c + -12 + -4c) (-72 + 8c) = 6(2c + -12 + -4c) Reorder the terms: -72 + 8c = 6(-12 + 2c + -4c) Combine like terms: 2c + -4c = -2c -72 + 8c = 6(-12 + -2c) -72 + 8c = (-12 * 6 + -2c * 6) -72 + 8c = (-72 + -12c) Add '72' to each side of the equation. -72 + 72 + 8c = -72 + 72 + -12c Combine like terms: -72 + 72 = 0 0 + 8c = -72 + 72 + -12c 8c = -72 + 72 + -12c Combine like terms: -72 + 72 = 0 8c = 0 + -12c 8c = -12c Solving 8c = -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. 8c + 12c = -12c + 12c Combine like terms: 8c + 12c = 20c 20c = -12c + 12c Combine like terms: -12c + 12c = 0 20c = 0 Divide each side by '20'. c = 0.0 Simplifying c = 0.0
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