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Simplifying 3 = 3(c + -2) + -5(2c + 1) Reorder the terms: 3 = 3(-2 + c) + -5(2c + 1) 3 = (-2 * 3 + c * 3) + -5(2c + 1) 3 = (-6 + 3c) + -5(2c + 1) Reorder the terms: 3 = -6 + 3c + -5(1 + 2c) 3 = -6 + 3c + (1 * -5 + 2c * -5) 3 = -6 + 3c + (-5 + -10c) Reorder the terms: 3 = -6 + -5 + 3c + -10c Combine like terms: -6 + -5 = -11 3 = -11 + 3c + -10c Combine like terms: 3c + -10c = -7c 3 = -11 + -7c Solving 3 = -11 + -7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7c' to each side of the equation. 3 + 7c = -11 + -7c + 7c Combine like terms: -7c + 7c = 0 3 + 7c = -11 + 0 3 + 7c = -11 Add '-3' to each side of the equation. 3 + -3 + 7c = -11 + -3 Combine like terms: 3 + -3 = 0 0 + 7c = -11 + -3 7c = -11 + -3 Combine like terms: -11 + -3 = -14 7c = -14 Divide each side by '7'. c = -2 Simplifying c = -2
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