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Simplifying -2(n + 7) + 7(6n + -1) = 19 Reorder the terms: -2(7 + n) + 7(6n + -1) = 19 (7 * -2 + n * -2) + 7(6n + -1) = 19 (-14 + -2n) + 7(6n + -1) = 19 Reorder the terms: -14 + -2n + 7(-1 + 6n) = 19 -14 + -2n + (-1 * 7 + 6n * 7) = 19 -14 + -2n + (-7 + 42n) = 19 Reorder the terms: -14 + -7 + -2n + 42n = 19 Combine like terms: -14 + -7 = -21 -21 + -2n + 42n = 19 Combine like terms: -2n + 42n = 40n -21 + 40n = 19 Solving -21 + 40n = 19 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 40n = 19 + 21 Combine like terms: -21 + 21 = 0 0 + 40n = 19 + 21 40n = 19 + 21 Combine like terms: 19 + 21 = 40 40n = 40 Divide each side by '40'. n = 1 Simplifying n = 1
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