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Simplifying -10(4 + -12n) = 2n + -6(-12n + -1) (4 * -10 + -12n * -10) = 2n + -6(-12n + -1) (-40 + 120n) = 2n + -6(-12n + -1) Reorder the terms: -40 + 120n = 2n + -6(-1 + -12n) -40 + 120n = 2n + (-1 * -6 + -12n * -6) -40 + 120n = 2n + (6 + 72n) Reorder the terms: -40 + 120n = 6 + 2n + 72n Combine like terms: 2n + 72n = 74n -40 + 120n = 6 + 74n Solving -40 + 120n = 6 + 74n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-74n' to each side of the equation. -40 + 120n + -74n = 6 + 74n + -74n Combine like terms: 120n + -74n = 46n -40 + 46n = 6 + 74n + -74n Combine like terms: 74n + -74n = 0 -40 + 46n = 6 + 0 -40 + 46n = 6 Add '40' to each side of the equation. -40 + 40 + 46n = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 46n = 6 + 40 46n = 6 + 40 Combine like terms: 6 + 40 = 46 46n = 46 Divide each side by '46'. n = 1 Simplifying n = 1
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