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Simplifying 2n + -7(8 + -2n) = 6n + -36 2n + (8 * -7 + -2n * -7) = 6n + -36 2n + (-56 + 14n) = 6n + -36 Reorder the terms: -56 + 2n + 14n = 6n + -36 Combine like terms: 2n + 14n = 16n -56 + 16n = 6n + -36 Reorder the terms: -56 + 16n = -36 + 6n Solving -56 + 16n = -36 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -56 + 16n + -6n = -36 + 6n + -6n Combine like terms: 16n + -6n = 10n -56 + 10n = -36 + 6n + -6n Combine like terms: 6n + -6n = 0 -56 + 10n = -36 + 0 -56 + 10n = -36 Add '56' to each side of the equation. -56 + 56 + 10n = -36 + 56 Combine like terms: -56 + 56 = 0 0 + 10n = -36 + 56 10n = -36 + 56 Combine like terms: -36 + 56 = 20 10n = 20 Divide each side by '10'. n = 2 Simplifying n = 2
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