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Simplifying 9(3a + 1) = 27(3c + -1) Reorder the terms: 9(1 + 3a) = 27(3c + -1) (1 * 9 + 3a * 9) = 27(3c + -1) (9 + 27a) = 27(3c + -1) Reorder the terms: 9 + 27a = 27(-1 + 3c) 9 + 27a = (-1 * 27 + 3c * 27) 9 + 27a = (-27 + 81c) Solving 9 + 27a = -27 + 81c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 27a = -27 + -9 + 81c Combine like terms: 9 + -9 = 0 0 + 27a = -27 + -9 + 81c 27a = -27 + -9 + 81c Combine like terms: -27 + -9 = -36 27a = -36 + 81c Divide each side by '27'. a = -1.333333333 + 3c Simplifying a = -1.333333333 + 3c
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