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Simplifying 8(c + -9) = 6(2a + -4) Reorder the terms: 8(-9 + c) = 6(2a + -4) (-9 * 8 + c * 8) = 6(2a + -4) (-72 + 8c) = 6(2a + -4) Reorder the terms: -72 + 8c = 6(-4 + 2a) -72 + 8c = (-4 * 6 + 2a * 6) -72 + 8c = (-24 + 12a) Solving -72 + 8c = -24 + 12a Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 8c = -24 + 72 + 12a Combine like terms: -72 + 72 = 0 0 + 8c = -24 + 72 + 12a 8c = -24 + 72 + 12a Combine like terms: -24 + 72 = 48 8c = 48 + 12a Divide each side by '8'. c = 6 + 1.5a Simplifying c = 6 + 1.5a
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