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Simplifying 40 + -1(3c + 4) = 2c + 3 + c Reorder the terms: 40 + -1(4 + 3c) = 2c + 3 + c 40 + (4 * -1 + 3c * -1) = 2c + 3 + c 40 + (-4 + -3c) = 2c + 3 + c Combine like terms: 40 + -4 = 36 36 + -3c = 2c + 3 + c Reorder the terms: 36 + -3c = 3 + 2c + c Combine like terms: 2c + c = 3c 36 + -3c = 3 + 3c Solving 36 + -3c = 3 + 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. 36 + -3c + -3c = 3 + 3c + -3c Combine like terms: -3c + -3c = -6c 36 + -6c = 3 + 3c + -3c Combine like terms: 3c + -3c = 0 36 + -6c = 3 + 0 36 + -6c = 3 Add '-36' to each side of the equation. 36 + -36 + -6c = 3 + -36 Combine like terms: 36 + -36 = 0 0 + -6c = 3 + -36 -6c = 3 + -36 Combine like terms: 3 + -36 = -33 -6c = -33 Divide each side by '-6'. c = 5.5 Simplifying c = 5.5
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