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Simplifying 9(3 + -4c) + 1 = 9(4c + -2) + 3 (3 * 9 + -4c * 9) + 1 = 9(4c + -2) + 3 (27 + -36c) + 1 = 9(4c + -2) + 3 Reorder the terms: 27 + 1 + -36c = 9(4c + -2) + 3 Combine like terms: 27 + 1 = 28 28 + -36c = 9(4c + -2) + 3 Reorder the terms: 28 + -36c = 9(-2 + 4c) + 3 28 + -36c = (-2 * 9 + 4c * 9) + 3 28 + -36c = (-18 + 36c) + 3 Reorder the terms: 28 + -36c = -18 + 3 + 36c Combine like terms: -18 + 3 = -15 28 + -36c = -15 + 36c Solving 28 + -36c = -15 + 36c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-36c' to each side of the equation. 28 + -36c + -36c = -15 + 36c + -36c Combine like terms: -36c + -36c = -72c 28 + -72c = -15 + 36c + -36c Combine like terms: 36c + -36c = 0 28 + -72c = -15 + 0 28 + -72c = -15 Add '-28' to each side of the equation. 28 + -28 + -72c = -15 + -28 Combine like terms: 28 + -28 = 0 0 + -72c = -15 + -28 -72c = -15 + -28 Combine like terms: -15 + -28 = -43 -72c = -43 Divide each side by '-72'. c = 0.5972222222 Simplifying c = 0.5972222222
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