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Simplifying 8(c + -9) = (2c + -12) + -4c Reorder the terms: 8(-9 + c) = (2c + -12) + -4c (-9 * 8 + c * 8) = (2c + -12) + -4c (-72 + 8c) = (2c + -12) + -4c Reorder the terms: -72 + 8c = (-12 + 2c) + -4c Remove parenthesis around (-12 + 2c) -72 + 8c = -12 + 2c + -4c Combine like terms: 2c + -4c = -2c -72 + 8c = -12 + -2c Solving -72 + 8c = -12 + -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. -72 + 8c + 2c = -12 + -2c + 2c Combine like terms: 8c + 2c = 10c -72 + 10c = -12 + -2c + 2c Combine like terms: -2c + 2c = 0 -72 + 10c = -12 + 0 -72 + 10c = -12 Add '72' to each side of the equation. -72 + 72 + 10c = -12 + 72 Combine like terms: -72 + 72 = 0 0 + 10c = -12 + 72 10c = -12 + 72 Combine like terms: -12 + 72 = 60 10c = 60 Divide each side by '10'. c = 6 Simplifying c = 6
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