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Simplifying -7(2 + -8n) = 5n + 37 (2 * -7 + -8n * -7) = 5n + 37 (-14 + 56n) = 5n + 37 Reorder the terms: -14 + 56n = 37 + 5n Solving -14 + 56n = 37 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -14 + 56n + -5n = 37 + 5n + -5n Combine like terms: 56n + -5n = 51n -14 + 51n = 37 + 5n + -5n Combine like terms: 5n + -5n = 0 -14 + 51n = 37 + 0 -14 + 51n = 37 Add '14' to each side of the equation. -14 + 14 + 51n = 37 + 14 Combine like terms: -14 + 14 = 0 0 + 51n = 37 + 14 51n = 37 + 14 Combine like terms: 37 + 14 = 51 51n = 51 Divide each side by '51'. n = 1 Simplifying n = 1
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