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