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Simplifying 6 + -2(1 + -4c) = 34 6 + (1 * -2 + -4c * -2) = 34 6 + (-2 + 8c) = 34 Combine like terms: 6 + -2 = 4 4 + 8c = 34 Solving 4 + 8c = 34 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8c = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 8c = 34 + -4 8c = 34 + -4 Combine like terms: 34 + -4 = 30 8c = 30 Divide each side by '8'. c = 3.75 Simplifying c = 3.75
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