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Simplifying 9(c + -1) + -7(2c + 1) = 5 Reorder the terms: 9(-1 + c) + -7(2c + 1) = 5 (-1 * 9 + c * 9) + -7(2c + 1) = 5 (-9 + 9c) + -7(2c + 1) = 5 Reorder the terms: -9 + 9c + -7(1 + 2c) = 5 -9 + 9c + (1 * -7 + 2c * -7) = 5 -9 + 9c + (-7 + -14c) = 5 Reorder the terms: -9 + -7 + 9c + -14c = 5 Combine like terms: -9 + -7 = -16 -16 + 9c + -14c = 5 Combine like terms: 9c + -14c = -5c -16 + -5c = 5 Solving -16 + -5c = 5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -5c = 5 + 16 Combine like terms: -16 + 16 = 0 0 + -5c = 5 + 16 -5c = 5 + 16 Combine like terms: 5 + 16 = 21 -5c = 21 Divide each side by '-5'. c = -4.2 Simplifying c = -4.2
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