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Simplifying 8[2(c + 4) + -1(3c + -9)] = c + -24 Reorder the terms: 8[2(4 + c) + -1(3c + -9)] = c + -24 8[(4 * 2 + c * 2) + -1(3c + -9)] = c + -24 8[(8 + 2c) + -1(3c + -9)] = c + -24 Reorder the terms: 8[8 + 2c + -1(-9 + 3c)] = c + -24 8[8 + 2c + (-9 * -1 + 3c * -1)] = c + -24 8[8 + 2c + (9 + -3c)] = c + -24 Reorder the terms: 8[8 + 9 + 2c + -3c] = c + -24 Combine like terms: 8 + 9 = 17 8[17 + 2c + -3c] = c + -24 Combine like terms: 2c + -3c = -1c 8[17 + -1c] = c + -24 [17 * 8 + -1c * 8] = c + -24 [136 + -8c] = c + -24 Reorder the terms: 136 + -8c = -24 + c Solving 136 + -8c = -24 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 136 + -8c + -1c = -24 + c + -1c Combine like terms: -8c + -1c = -9c 136 + -9c = -24 + c + -1c Combine like terms: c + -1c = 0 136 + -9c = -24 + 0 136 + -9c = -24 Add '-136' to each side of the equation. 136 + -136 + -9c = -24 + -136 Combine like terms: 136 + -136 = 0 0 + -9c = -24 + -136 -9c = -24 + -136 Combine like terms: -24 + -136 = -160 -9c = -160 Divide each side by '-9'. c = 17.77777778 Simplifying c = 17.77777778
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