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Simplifying -2(8 + 2n) + -6(4n + -7) = -30 (8 * -2 + 2n * -2) + -6(4n + -7) = -30 (-16 + -4n) + -6(4n + -7) = -30 Reorder the terms: -16 + -4n + -6(-7 + 4n) = -30 -16 + -4n + (-7 * -6 + 4n * -6) = -30 -16 + -4n + (42 + -24n) = -30 Reorder the terms: -16 + 42 + -4n + -24n = -30 Combine like terms: -16 + 42 = 26 26 + -4n + -24n = -30 Combine like terms: -4n + -24n = -28n 26 + -28n = -30 Solving 26 + -28n = -30 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -28n = -30 + -26 Combine like terms: 26 + -26 = 0 0 + -28n = -30 + -26 -28n = -30 + -26 Combine like terms: -30 + -26 = -56 -28n = -56 Divide each side by '-28'. n = 2 Simplifying n = 2
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