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Simplifying 6 = 8(5 + -3 + -4c) + -20 Combine like terms: 5 + -3 = 2 6 = 8(2 + -4c) + -20 6 = (2 * 8 + -4c * 8) + -20 6 = (16 + -32c) + -20 Reorder the terms: 6 = 16 + -20 + -32c Combine like terms: 16 + -20 = -4 6 = -4 + -32c Solving 6 = -4 + -32c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '32c' to each side of the equation. 6 + 32c = -4 + -32c + 32c Combine like terms: -32c + 32c = 0 6 + 32c = -4 + 0 6 + 32c = -4 Add '-6' to each side of the equation. 6 + -6 + 32c = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 32c = -4 + -6 32c = -4 + -6 Combine like terms: -4 + -6 = -10 32c = -10 Divide each side by '32'. c = -0.3125 Simplifying c = -0.3125
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