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Simplifying 9(3c + -1) = 27(3c + -1) Reorder the terms: 9(-1 + 3c) = 27(3c + -1) (-1 * 9 + 3c * 9) = 27(3c + -1) (-9 + 27c) = 27(3c + -1) Reorder the terms: -9 + 27c = 27(-1 + 3c) -9 + 27c = (-1 * 27 + 3c * 27) -9 + 27c = (-27 + 81c) Solving -9 + 27c = -27 + 81c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-81c' to each side of the equation. -9 + 27c + -81c = -27 + 81c + -81c Combine like terms: 27c + -81c = -54c -9 + -54c = -27 + 81c + -81c Combine like terms: 81c + -81c = 0 -9 + -54c = -27 + 0 -9 + -54c = -27 Add '9' to each side of the equation. -9 + 9 + -54c = -27 + 9 Combine like terms: -9 + 9 = 0 0 + -54c = -27 + 9 -54c = -27 + 9 Combine like terms: -27 + 9 = -18 -54c = -18 Divide each side by '-54'. c = 0.3333333333 Simplifying c = 0.3333333333
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