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Simplifying 13(9c + -1) + -2 = 115c + 13 Reorder the terms: 13(-1 + 9c) + -2 = 115c + 13 (-1 * 13 + 9c * 13) + -2 = 115c + 13 (-13 + 117c) + -2 = 115c + 13 Reorder the terms: -13 + -2 + 117c = 115c + 13 Combine like terms: -13 + -2 = -15 -15 + 117c = 115c + 13 Reorder the terms: -15 + 117c = 13 + 115c Solving -15 + 117c = 13 + 115c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-115c' to each side of the equation. -15 + 117c + -115c = 13 + 115c + -115c Combine like terms: 117c + -115c = 2c -15 + 2c = 13 + 115c + -115c Combine like terms: 115c + -115c = 0 -15 + 2c = 13 + 0 -15 + 2c = 13 Add '15' to each side of the equation. -15 + 15 + 2c = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 2c = 13 + 15 2c = 13 + 15 Combine like terms: 13 + 15 = 28 2c = 28 Divide each side by '2'. c = 14 Simplifying c = 14
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