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Simplifying 5n + -3(1 + 7n) = 39 + -2n 5n + (1 * -3 + 7n * -3) = 39 + -2n 5n + (-3 + -21n) = 39 + -2n Reorder the terms: -3 + 5n + -21n = 39 + -2n Combine like terms: 5n + -21n = -16n -3 + -16n = 39 + -2n Solving -3 + -16n = 39 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -3 + -16n + 2n = 39 + -2n + 2n Combine like terms: -16n + 2n = -14n -3 + -14n = 39 + -2n + 2n Combine like terms: -2n + 2n = 0 -3 + -14n = 39 + 0 -3 + -14n = 39 Add '3' to each side of the equation. -3 + 3 + -14n = 39 + 3 Combine like terms: -3 + 3 = 0 0 + -14n = 39 + 3 -14n = 39 + 3 Combine like terms: 39 + 3 = 42 -14n = 42 Divide each side by '-14'. n = -3 Simplifying n = -3
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