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Simplifying 8(c + -9) = (2c + -12) + -4 Reorder the terms: 8(-9 + c) = (2c + -12) + -4 (-9 * 8 + c * 8) = (2c + -12) + -4 (-72 + 8c) = (2c + -12) + -4 Reorder the terms: -72 + 8c = (-12 + 2c) + -4 Remove parenthesis around (-12 + 2c) -72 + 8c = -12 + 2c + -4 Reorder the terms: -72 + 8c = -12 + -4 + 2c Combine like terms: -12 + -4 = -16 -72 + 8c = -16 + 2c Solving -72 + 8c = -16 + 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 = -16 + 2c + -2c Combine like terms: 8c + -2c = 6c -72 + 6c = -16 + 2c + -2c Combine like terms: 2c + -2c = 0 -72 + 6c = -16 + 0 -72 + 6c = -16 Add '72' to each side of the equation. -72 + 72 + 6c = -16 + 72 Combine like terms: -72 + 72 = 0 0 + 6c = -16 + 72 6c = -16 + 72 Combine like terms: -16 + 72 = 56 6c = 56 Divide each side by '6'. c = 9.333333333 Simplifying c = 9.333333333
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