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Simplifying (n + 4) + -3n + -1(2 + -6c) = 12 Reorder the terms: (4 + n) + -3n + -1(2 + -6c) = 12 Remove parenthesis around (4 + n) 4 + n + -3n + -1(2 + -6c) = 12 4 + n + -3n + (2 * -1 + -6c * -1) = 12 4 + n + -3n + (-2 + 6c) = 12 Reorder the terms: 4 + -2 + 6c + n + -3n = 12 Combine like terms: 4 + -2 = 2 2 + 6c + n + -3n = 12 Combine like terms: n + -3n = -2n 2 + 6c + -2n = 12 Solving 2 + 6c + -2n = 12 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 + 6c + -2 + -2n = 12 + -2 Reorder the terms: 2 + -2 + 6c + -2n = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 6c + -2n = 12 + -2 6c + -2n = 12 + -2 Combine like terms: 12 + -2 = 10 6c + -2n = 10 Add '2n' to each side of the equation. 6c + -2n + 2n = 10 + 2n Combine like terms: -2n + 2n = 0 6c + 0 = 10 + 2n 6c = 10 + 2n Divide each side by '6'. c = 1.666666667 + 0.3333333333n Simplifying c = 1.666666667 + 0.3333333333n
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