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Simplifying 13(7c + -1) + -2 = 89c + 13 Reorder the terms: 13(-1 + 7c) + -2 = 89c + 13 (-1 * 13 + 7c * 13) + -2 = 89c + 13 (-13 + 91c) + -2 = 89c + 13 Reorder the terms: -13 + -2 + 91c = 89c + 13 Combine like terms: -13 + -2 = -15 -15 + 91c = 89c + 13 Reorder the terms: -15 + 91c = 13 + 89c Solving -15 + 91c = 13 + 89c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-89c' to each side of the equation. -15 + 91c + -89c = 13 + 89c + -89c Combine like terms: 91c + -89c = 2c -15 + 2c = 13 + 89c + -89c Combine like terms: 89c + -89c = 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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