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Simplifying 36 = (5c + 4) + -1(2c + 4) Reorder the terms: 36 = (4 + 5c) + -1(2c + 4) Remove parenthesis around (4 + 5c) 36 = 4 + 5c + -1(2c + 4) Reorder the terms: 36 = 4 + 5c + -1(4 + 2c) 36 = 4 + 5c + (4 * -1 + 2c * -1) 36 = 4 + 5c + (-4 + -2c) Reorder the terms: 36 = 4 + -4 + 5c + -2c Combine like terms: 4 + -4 = 0 36 = 0 + 5c + -2c 36 = 5c + -2c Combine like terms: 5c + -2c = 3c 36 = 3c Solving 36 = 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 + -3c Combine like terms: 3c + -3c = 0 36 + -3c = 0 Add '-36' to each side of the equation. 36 + -36 + -3c = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -3c = 0 + -36 -3c = 0 + -36 Combine like terms: 0 + -36 = -36 -3c = -36 Divide each side by '-3'. c = 12 Simplifying c = 12
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