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Simplifying -7(-4n + 2) = 7(6n + 2) Reorder the terms: -7(2 + -4n) = 7(6n + 2) (2 * -7 + -4n * -7) = 7(6n + 2) (-14 + 28n) = 7(6n + 2) Reorder the terms: -14 + 28n = 7(2 + 6n) -14 + 28n = (2 * 7 + 6n * 7) -14 + 28n = (14 + 42n) Solving -14 + 28n = 14 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. -14 + 28n + -42n = 14 + 42n + -42n Combine like terms: 28n + -42n = -14n -14 + -14n = 14 + 42n + -42n Combine like terms: 42n + -42n = 0 -14 + -14n = 14 + 0 -14 + -14n = 14 Add '14' to each side of the equation. -14 + 14 + -14n = 14 + 14 Combine like terms: -14 + 14 = 0 0 + -14n = 14 + 14 -14n = 14 + 14 Combine like terms: 14 + 14 = 28 -14n = 28 Divide each side by '-14'. n = -2 Simplifying n = -2
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