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Simplifying 7(6 + -2n) = 4n + -2 (6 * 7 + -2n * 7) = 4n + -2 (42 + -14n) = 4n + -2 Reorder the terms: 42 + -14n = -2 + 4n Solving 42 + -14n = -2 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 42 + -14n + -4n = -2 + 4n + -4n Combine like terms: -14n + -4n = -18n 42 + -18n = -2 + 4n + -4n Combine like terms: 4n + -4n = 0 42 + -18n = -2 + 0 42 + -18n = -2 Add '-42' to each side of the equation. 42 + -42 + -18n = -2 + -42 Combine like terms: 42 + -42 = 0 0 + -18n = -2 + -42 -18n = -2 + -42 Combine like terms: -2 + -42 = -44 -18n = -44 Divide each side by '-18'. n = 2.444444444 Simplifying n = 2.444444444
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