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Simplifying -6(1 + 2n) = 6(4n + -7) (1 * -6 + 2n * -6) = 6(4n + -7) (-6 + -12n) = 6(4n + -7) Reorder the terms: -6 + -12n = 6(-7 + 4n) -6 + -12n = (-7 * 6 + 4n * 6) -6 + -12n = (-42 + 24n) Solving -6 + -12n = -42 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -6 + -12n + -24n = -42 + 24n + -24n Combine like terms: -12n + -24n = -36n -6 + -36n = -42 + 24n + -24n Combine like terms: 24n + -24n = 0 -6 + -36n = -42 + 0 -6 + -36n = -42 Add '6' to each side of the equation. -6 + 6 + -36n = -42 + 6 Combine like terms: -6 + 6 = 0 0 + -36n = -42 + 6 -36n = -42 + 6 Combine like terms: -42 + 6 = -36 -36n = -36 Divide each side by '-36'. n = 1 Simplifying n = 1
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