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Simplifying 4(8 + c) + 2(c + -5) = 0 (8 * 4 + c * 4) + 2(c + -5) = 0 (32 + 4c) + 2(c + -5) = 0 Reorder the terms: 32 + 4c + 2(-5 + c) = 0 32 + 4c + (-5 * 2 + c * 2) = 0 32 + 4c + (-10 + 2c) = 0 Reorder the terms: 32 + -10 + 4c + 2c = 0 Combine like terms: 32 + -10 = 22 22 + 4c + 2c = 0 Combine like terms: 4c + 2c = 6c 22 + 6c = 0 Solving 22 + 6c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 6c = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 6c = 0 + -22 6c = 0 + -22 Combine like terms: 0 + -22 = -22 6c = -22 Divide each side by '6'. c = -3.666666667 Simplifying c = -3.666666667
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