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Simplifying -8 = -2(c + 1) Reorder the terms: -8 = -2(1 + c) -8 = (1 * -2 + c * -2) -8 = (-2 + -2c) Solving -8 = -2 + -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. -8 + 2c = -2 + -2c + 2c Combine like terms: -2c + 2c = 0 -8 + 2c = -2 + 0 -8 + 2c = -2 Add '8' to each side of the equation. -8 + 8 + 2c = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 2c = -2 + 8 2c = -2 + 8 Combine like terms: -2 + 8 = 6 2c = 6 Divide each side by '2'. c = 3 Simplifying c = 3
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