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Simplifying 2 = 10c + -4(2c + -9) Reorder the terms: 2 = 10c + -4(-9 + 2c) 2 = 10c + (-9 * -4 + 2c * -4) 2 = 10c + (36 + -8c) Reorder the terms: 2 = 36 + 10c + -8c Combine like terms: 10c + -8c = 2c 2 = 36 + 2c Solving 2 = 36 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 2 + -2c = 36 + 2c + -2c Combine like terms: 2c + -2c = 0 2 + -2c = 36 + 0 2 + -2c = 36 Add '-2' to each side of the equation. 2 + -2 + -2c = 36 + -2 Combine like terms: 2 + -2 = 0 0 + -2c = 36 + -2 -2c = 36 + -2 Combine like terms: 36 + -2 = 34 -2c = 34 Divide each side by '-2'. c = -17 Simplifying c = -17
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