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Simplifying 39 + -2n = -7(1 + -6n) + 2n 39 + -2n = (1 * -7 + -6n * -7) + 2n 39 + -2n = (-7 + 42n) + 2n Combine like terms: 42n + 2n = 44n 39 + -2n = -7 + 44n Solving 39 + -2n = -7 + 44n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-44n' to each side of the equation. 39 + -2n + -44n = -7 + 44n + -44n Combine like terms: -2n + -44n = -46n 39 + -46n = -7 + 44n + -44n Combine like terms: 44n + -44n = 0 39 + -46n = -7 + 0 39 + -46n = -7 Add '-39' to each side of the equation. 39 + -39 + -46n = -7 + -39 Combine like terms: 39 + -39 = 0 0 + -46n = -7 + -39 -46n = -7 + -39 Combine like terms: -7 + -39 = -46 -46n = -46 Divide each side by '-46'. n = 1 Simplifying n = 1
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