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Simplifying -6 + 4(2c + 1) = -34 Reorder the terms: -6 + 4(1 + 2c) = -34 -6 + (1 * 4 + 2c * 4) = -34 -6 + (4 + 8c) = -34 Combine like terms: -6 + 4 = -2 -2 + 8c = -34 Solving -2 + 8c = -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 + 8c = -34 + 2 Combine like terms: -2 + 2 = 0 0 + 8c = -34 + 2 8c = -34 + 2 Combine like terms: -34 + 2 = -32 8c = -32 Divide each side by '8'. c = -4 Simplifying c = -4
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