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Simplifying 8(c + -9) = 6(3c + -12) + -4 Reorder the terms: 8(-9 + c) = 6(3c + -12) + -4 (-9 * 8 + c * 8) = 6(3c + -12) + -4 (-72 + 8c) = 6(3c + -12) + -4 Reorder the terms: -72 + 8c = 6(-12 + 3c) + -4 -72 + 8c = (-12 * 6 + 3c * 6) + -4 -72 + 8c = (-72 + 18c) + -4 Reorder the terms: -72 + 8c = -72 + -4 + 18c Combine like terms: -72 + -4 = -76 -72 + 8c = -76 + 18c Solving -72 + 8c = -76 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. -72 + 8c + -18c = -76 + 18c + -18c Combine like terms: 8c + -18c = -10c -72 + -10c = -76 + 18c + -18c Combine like terms: 18c + -18c = 0 -72 + -10c = -76 + 0 -72 + -10c = -76 Add '72' to each side of the equation. -72 + 72 + -10c = -76 + 72 Combine like terms: -72 + 72 = 0 0 + -10c = -76 + 72 -10c = -76 + 72 Combine like terms: -76 + 72 = -4 -10c = -4 Divide each side by '-10'. c = 0.4 Simplifying c = 0.4
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