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Simplifying -2(6c + 1) = -13c + -19 Reorder the terms: -2(1 + 6c) = -13c + -19 (1 * -2 + 6c * -2) = -13c + -19 (-2 + -12c) = -13c + -19 Reorder the terms: -2 + -12c = -19 + -13c Solving -2 + -12c = -19 + -13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '13c' to each side of the equation. -2 + -12c + 13c = -19 + -13c + 13c Combine like terms: -12c + 13c = 1c -2 + 1c = -19 + -13c + 13c Combine like terms: -13c + 13c = 0 -2 + 1c = -19 + 0 -2 + 1c = -19 Add '2' to each side of the equation. -2 + 2 + 1c = -19 + 2 Combine like terms: -2 + 2 = 0 0 + 1c = -19 + 2 1c = -19 + 2 Combine like terms: -19 + 2 = -17 1c = -17 Divide each side by '1'. c = -17 Simplifying c = -17
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