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Simplifying -8 + 6(1 + -7c) = 34 -8 + (1 * 6 + -7c * 6) = 34 -8 + (6 + -42c) = 34 Combine like terms: -8 + 6 = -2 -2 + -42c = 34 Solving -2 + -42c = 34 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -42c = 34 + 2 Combine like terms: -2 + 2 = 0 0 + -42c = 34 + 2 -42c = 34 + 2 Combine like terms: 34 + 2 = 36 -42c = 36 Divide each side by '-42'. c = -0.8571428571 Simplifying c = -0.8571428571
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