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Simplifying 36 + -1(2c + 3) = 2c + 8 + c Reorder the terms: 36 + -1(3 + 2c) = 2c + 8 + c 36 + (3 * -1 + 2c * -1) = 2c + 8 + c 36 + (-3 + -2c) = 2c + 8 + c Combine like terms: 36 + -3 = 33 33 + -2c = 2c + 8 + c Reorder the terms: 33 + -2c = 8 + 2c + c Combine like terms: 2c + c = 3c 33 + -2c = 8 + 3c Solving 33 + -2c = 8 + 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. 33 + -2c + -3c = 8 + 3c + -3c Combine like terms: -2c + -3c = -5c 33 + -5c = 8 + 3c + -3c Combine like terms: 3c + -3c = 0 33 + -5c = 8 + 0 33 + -5c = 8 Add '-33' to each side of the equation. 33 + -33 + -5c = 8 + -33 Combine like terms: 33 + -33 = 0 0 + -5c = 8 + -33 -5c = 8 + -33 Combine like terms: 8 + -33 = -25 -5c = -25 Divide each side by '-5'. c = 5 Simplifying c = 5
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