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Simplifying -8(7 + -5n) + 6(n + -7) = -52 (7 * -8 + -5n * -8) + 6(n + -7) = -52 (-56 + 40n) + 6(n + -7) = -52 Reorder the terms: -56 + 40n + 6(-7 + n) = -52 -56 + 40n + (-7 * 6 + n * 6) = -52 -56 + 40n + (-42 + 6n) = -52 Reorder the terms: -56 + -42 + 40n + 6n = -52 Combine like terms: -56 + -42 = -98 -98 + 40n + 6n = -52 Combine like terms: 40n + 6n = 46n -98 + 46n = -52 Solving -98 + 46n = -52 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '98' to each side of the equation. -98 + 98 + 46n = -52 + 98 Combine like terms: -98 + 98 = 0 0 + 46n = -52 + 98 46n = -52 + 98 Combine like terms: -52 + 98 = 46 46n = 46 Divide each side by '46'. n = 1 Simplifying n = 1
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