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Simplifying -2(12c + 4) + 6c = -19c Reorder the terms: -2(4 + 12c) + 6c = -19c (4 * -2 + 12c * -2) + 6c = -19c (-8 + -24c) + 6c = -19c Combine like terms: -24c + 6c = -18c -8 + -18c = -19c Solving -8 + -18c = -19c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '19c' to each side of the equation. -8 + -18c + 19c = -19c + 19c Combine like terms: -18c + 19c = 1c -8 + 1c = -19c + 19c Combine like terms: -19c + 19c = 0 -8 + 1c = 0 Add '8' to each side of the equation. -8 + 8 + 1c = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1c = 0 + 8 1c = 0 + 8 Combine like terms: 0 + 8 = 8 1c = 8 Divide each side by '1'. c = 8 Simplifying c = 8
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