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Simplifying (2c + 6)(8) = 0 Reorder the terms: (6 + 2c)(8) = 0 Reorder the terms for easier multiplication: 8(6 + 2c) = 0 (6 * 8 + 2c * 8) = 0 (48 + 16c) = 0 Solving 48 + 16c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 16c = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 16c = 0 + -48 16c = 0 + -48 Combine like terms: 0 + -48 = -48 16c = -48 Divide each side by '16'. c = -3 Simplifying c = -3
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