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Simplifying 26 + -1(8c + 14) = 13 + -9(c + 1) Reorder the terms: 26 + -1(14 + 8c) = 13 + -9(c + 1) 26 + (14 * -1 + 8c * -1) = 13 + -9(c + 1) 26 + (-14 + -8c) = 13 + -9(c + 1) Combine like terms: 26 + -14 = 12 12 + -8c = 13 + -9(c + 1) Reorder the terms: 12 + -8c = 13 + -9(1 + c) 12 + -8c = 13 + (1 * -9 + c * -9) 12 + -8c = 13 + (-9 + -9c) Combine like terms: 13 + -9 = 4 12 + -8c = 4 + -9c Solving 12 + -8c = 4 + -9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9c' to each side of the equation. 12 + -8c + 9c = 4 + -9c + 9c Combine like terms: -8c + 9c = 1c 12 + 1c = 4 + -9c + 9c Combine like terms: -9c + 9c = 0 12 + 1c = 4 + 0 12 + 1c = 4 Add '-12' to each side of the equation. 12 + -12 + 1c = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 1c = 4 + -12 1c = 4 + -12 Combine like terms: 4 + -12 = -8 1c = -8 Divide each side by '1'. c = -8 Simplifying c = -8
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