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Simplifying 8c + -1(c + 3) = -1(2c + 1) + -2 Reorder the terms: 8c + -1(3 + c) = -1(2c + 1) + -2 8c + (3 * -1 + c * -1) = -1(2c + 1) + -2 8c + (-3 + -1c) = -1(2c + 1) + -2 Reorder the terms: -3 + 8c + -1c = -1(2c + 1) + -2 Combine like terms: 8c + -1c = 7c -3 + 7c = -1(2c + 1) + -2 Reorder the terms: -3 + 7c = -1(1 + 2c) + -2 -3 + 7c = (1 * -1 + 2c * -1) + -2 -3 + 7c = (-1 + -2c) + -2 Reorder the terms: -3 + 7c = -1 + -2 + -2c Combine like terms: -1 + -2 = -3 -3 + 7c = -3 + -2c Add '3' to each side of the equation. -3 + 3 + 7c = -3 + 3 + -2c Combine like terms: -3 + 3 = 0 0 + 7c = -3 + 3 + -2c 7c = -3 + 3 + -2c Combine like terms: -3 + 3 = 0 7c = 0 + -2c 7c = -2c Solving 7c = -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. 7c + 2c = -2c + 2c Combine like terms: 7c + 2c = 9c 9c = -2c + 2c Combine like terms: -2c + 2c = 0 9c = 0 Divide each side by '9'. c = 0 Simplifying c = 0
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