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Simplifying 8(c + 6) = 9(2a + -4) Reorder the terms: 8(6 + c) = 9(2a + -4) (6 * 8 + c * 8) = 9(2a + -4) (48 + 8c) = 9(2a + -4) Reorder the terms: 48 + 8c = 9(-4 + 2a) 48 + 8c = (-4 * 9 + 2a * 9) 48 + 8c = (-36 + 18a) Solving 48 + 8c = -36 + 18a Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 8c = -36 + -48 + 18a Combine like terms: 48 + -48 = 0 0 + 8c = -36 + -48 + 18a 8c = -36 + -48 + 18a Combine like terms: -36 + -48 = -84 8c = -84 + 18a Divide each side by '8'. c = -10.5 + 2.25a Simplifying c = -10.5 + 2.25a
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