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Simplifying 13(7c + 1) + -16 = 89c + 13 Reorder the terms: 13(1 + 7c) + -16 = 89c + 13 (1 * 13 + 7c * 13) + -16 = 89c + 13 (13 + 91c) + -16 = 89c + 13 Reorder the terms: 13 + -16 + 91c = 89c + 13 Combine like terms: 13 + -16 = -3 -3 + 91c = 89c + 13 Reorder the terms: -3 + 91c = 13 + 89c Solving -3 + 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. -3 + 91c + -89c = 13 + 89c + -89c Combine like terms: 91c + -89c = 2c -3 + 2c = 13 + 89c + -89c Combine like terms: 89c + -89c = 0 -3 + 2c = 13 + 0 -3 + 2c = 13 Add '3' to each side of the equation. -3 + 3 + 2c = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 2c = 13 + 3 2c = 13 + 3 Combine like terms: 13 + 3 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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