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Simplifying 7(c + -2) = 2 + 6c Reorder the terms: 7(-2 + c) = 2 + 6c (-2 * 7 + c * 7) = 2 + 6c (-14 + 7c) = 2 + 6c Solving -14 + 7c = 2 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -14 + 7c + -6c = 2 + 6c + -6c Combine like terms: 7c + -6c = 1c -14 + 1c = 2 + 6c + -6c Combine like terms: 6c + -6c = 0 -14 + 1c = 2 + 0 -14 + 1c = 2 Add '14' to each side of the equation. -14 + 14 + 1c = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 1c = 2 + 14 1c = 2 + 14 Combine like terms: 2 + 14 = 16 1c = 16 Divide each side by '1'. c = 16 Simplifying c = 16
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