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