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Simplifying 39 + -1[2c + 4] = 2[c + 5] + c Reorder the terms: 39 + -1[4 + 2c] = 2[c + 5] + c 39 + [4 * -1 + 2c * -1] = 2[c + 5] + c 39 + [-4 + -2c] = 2[c + 5] + c Combine like terms: 39 + -4 = 35 35 + -2c = 2[c + 5] + c Reorder the terms: 35 + -2c = 2[5 + c] + c 35 + -2c = [5 * 2 + c * 2] + c 35 + -2c = [10 + 2c] + c Combine like terms: 2c + c = 3c 35 + -2c = 10 + 3c Solving 35 + -2c = 10 + 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. 35 + -2c + -3c = 10 + 3c + -3c Combine like terms: -2c + -3c = -5c 35 + -5c = 10 + 3c + -3c Combine like terms: 3c + -3c = 0 35 + -5c = 10 + 0 35 + -5c = 10 Add '-35' to each side of the equation. 35 + -35 + -5c = 10 + -35 Combine like terms: 35 + -35 = 0 0 + -5c = 10 + -35 -5c = 10 + -35 Combine like terms: 10 + -35 = -25 -5c = -25 Divide each side by '-5'. c = 5 Simplifying c = 5
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