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Simplifying 7(c + -9) = 9(2a + -8) + 4c Reorder the terms: 7(-9 + c) = 9(2a + -8) + 4c (-9 * 7 + c * 7) = 9(2a + -8) + 4c (-63 + 7c) = 9(2a + -8) + 4c Reorder the terms: -63 + 7c = 9(-8 + 2a) + 4c -63 + 7c = (-8 * 9 + 2a * 9) + 4c -63 + 7c = (-72 + 18a) + 4c Solving -63 + 7c = -72 + 18a + 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. -63 + 7c + -4c = -72 + 18a + 4c + -4c Combine like terms: 7c + -4c = 3c -63 + 3c = -72 + 18a + 4c + -4c Combine like terms: 4c + -4c = 0 -63 + 3c = -72 + 18a + 0 -63 + 3c = -72 + 18a Add '63' to each side of the equation. -63 + 63 + 3c = -72 + 63 + 18a Combine like terms: -63 + 63 = 0 0 + 3c = -72 + 63 + 18a 3c = -72 + 63 + 18a Combine like terms: -72 + 63 = -9 3c = -9 + 18a Divide each side by '3'. c = -3 + 6a Simplifying c = -3 + 6a
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