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Simplifying 8(-9) = 6(2c + -12) + -4c Multiply 8 * -9 -72 = 6(2c + -12) + -4c Reorder the terms: -72 = 6(-12 + 2c) + -4c -72 = (-12 * 6 + 2c * 6) + -4c -72 = (-72 + 12c) + -4c Combine like terms: 12c + -4c = 8c -72 = -72 + 8c Add '72' to each side of the equation. -72 + 72 = -72 + 72 + 8c Combine like terms: -72 + 72 = 0 0 = -72 + 72 + 8c Combine like terms: -72 + 72 = 0 0 = 0 + 8c 0 = 8c Solving 0 = 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 0 + -8c = 8c + -8c Remove the zero: -8c = 8c + -8c Combine like terms: 8c + -8c = 0 -8c = 0 Divide each side by '-8'. c = 0 Simplifying c = 0
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