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Simplifying 36 + -1(3c + 4) = 2c + 7 + c Reorder the terms: 36 + -1(4 + 3c) = 2c + 7 + c 36 + (4 * -1 + 3c * -1) = 2c + 7 + c 36 + (-4 + -3c) = 2c + 7 + c Combine like terms: 36 + -4 = 32 32 + -3c = 2c + 7 + c Reorder the terms: 32 + -3c = 7 + 2c + c Combine like terms: 2c + c = 3c 32 + -3c = 7 + 3c Solving 32 + -3c = 7 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 32 + -3c + -3c = 7 + 3c + -3c Combine like terms: -3c + -3c = -6c 32 + -6c = 7 + 3c + -3c Combine like terms: 3c + -3c = 0 32 + -6c = 7 + 0 32 + -6c = 7 Add '-32' to each side of the equation. 32 + -32 + -6c = 7 + -32 Combine like terms: 32 + -32 = 0 0 + -6c = 7 + -32 -6c = 7 + -32 Combine like terms: 7 + -32 = -25 -6c = -25 Divide each side by '-6'. c = 4.166666667 Simplifying c = 4.166666667
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