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Simplifying -8(2c + 20) = 2(-6c + -10) + 6c Reorder the terms: -8(20 + 2c) = 2(-6c + -10) + 6c (20 * -8 + 2c * -8) = 2(-6c + -10) + 6c (-160 + -16c) = 2(-6c + -10) + 6c Reorder the terms: -160 + -16c = 2(-10 + -6c) + 6c -160 + -16c = (-10 * 2 + -6c * 2) + 6c -160 + -16c = (-20 + -12c) + 6c Combine like terms: -12c + 6c = -6c -160 + -16c = -20 + -6c Solving -160 + -16c = -20 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. -160 + -16c + 6c = -20 + -6c + 6c Combine like terms: -16c + 6c = -10c -160 + -10c = -20 + -6c + 6c Combine like terms: -6c + 6c = 0 -160 + -10c = -20 + 0 -160 + -10c = -20 Add '160' to each side of the equation. -160 + 160 + -10c = -20 + 160 Combine like terms: -160 + 160 = 0 0 + -10c = -20 + 160 -10c = -20 + 160 Combine like terms: -20 + 160 = 140 -10c = 140 Divide each side by '-10'. c = -14 Simplifying c = -14
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