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Simplifying 8(c + -9) = 6(2c + -12) + -46 Reorder the terms: 8(-9 + c) = 6(2c + -12) + -46 (-9 * 8 + c * 8) = 6(2c + -12) + -46 (-72 + 8c) = 6(2c + -12) + -46 Reorder the terms: -72 + 8c = 6(-12 + 2c) + -46 -72 + 8c = (-12 * 6 + 2c * 6) + -46 -72 + 8c = (-72 + 12c) + -46 Reorder the terms: -72 + 8c = -72 + -46 + 12c Combine like terms: -72 + -46 = -118 -72 + 8c = -118 + 12c Solving -72 + 8c = -118 + 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. -72 + 8c + -12c = -118 + 12c + -12c Combine like terms: 8c + -12c = -4c -72 + -4c = -118 + 12c + -12c Combine like terms: 12c + -12c = 0 -72 + -4c = -118 + 0 -72 + -4c = -118 Add '72' to each side of the equation. -72 + 72 + -4c = -118 + 72 Combine like terms: -72 + 72 = 0 0 + -4c = -118 + 72 -4c = -118 + 72 Combine like terms: -118 + 72 = -46 -4c = -46 Divide each side by '-4'. c = 11.5 Simplifying c = 11.5
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