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Simplifying 5 + -2(4 + -1c) = 9 + -1c 5 + (4 * -2 + -1c * -2) = 9 + -1c 5 + (-8 + 2c) = 9 + -1c Combine like terms: 5 + -8 = -3 -3 + 2c = 9 + -1c Solving -3 + 2c = 9 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. -3 + 2c + c = 9 + -1c + c Combine like terms: 2c + c = 3c -3 + 3c = 9 + -1c + c Combine like terms: -1c + c = 0 -3 + 3c = 9 + 0 -3 + 3c = 9 Add '3' to each side of the equation. -3 + 3 + 3c = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3c = 9 + 3 3c = 9 + 3 Combine like terms: 9 + 3 = 12 3c = 12 Divide each side by '3'. c = 4 Simplifying c = 4
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