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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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