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Simplifying 8(c + -9) = 9(2a + -4) Reorder the terms: 8(-9 + c) = 9(2a + -4) (-9 * 8 + c * 8) = 9(2a + -4) (-72 + 8c) = 9(2a + -4) Reorder the terms: -72 + 8c = 9(-4 + 2a) -72 + 8c = (-4 * 9 + 2a * 9) -72 + 8c = (-36 + 18a) Solving -72 + 8c = -36 + 18a 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 = -36 + 72 + 18a Combine like terms: -72 + 72 = 0 0 + 8c = -36 + 72 + 18a 8c = -36 + 72 + 18a Combine like terms: -36 + 72 = 36 8c = 36 + 18a Divide each side by '8'. c = 4.5 + 2.25a Simplifying c = 4.5 + 2.25a
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