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Simplifying 2c + -9 = 1 + 9(c + 6) Reorder the terms: -9 + 2c = 1 + 9(c + 6) Reorder the terms: -9 + 2c = 1 + 9(6 + c) -9 + 2c = 1 + (6 * 9 + c * 9) -9 + 2c = 1 + (54 + 9c) Combine like terms: 1 + 54 = 55 -9 + 2c = 55 + 9c Solving -9 + 2c = 55 + 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. -9 + 2c + -9c = 55 + 9c + -9c Combine like terms: 2c + -9c = -7c -9 + -7c = 55 + 9c + -9c Combine like terms: 9c + -9c = 0 -9 + -7c = 55 + 0 -9 + -7c = 55 Add '9' to each side of the equation. -9 + 9 + -7c = 55 + 9 Combine like terms: -9 + 9 = 0 0 + -7c = 55 + 9 -7c = 55 + 9 Combine like terms: 55 + 9 = 64 -7c = 64 Divide each side by '-7'. c = -9.142857143 Simplifying c = -9.142857143
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