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Simplifying -31(-24n + 17) = 37n + 180 Reorder the terms: -31(17 + -24n) = 37n + 180 (17 * -31 + -24n * -31) = 37n + 180 (-527 + 744n) = 37n + 180 Reorder the terms: -527 + 744n = 180 + 37n Solving -527 + 744n = 180 + 37n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37n' to each side of the equation. -527 + 744n + -37n = 180 + 37n + -37n Combine like terms: 744n + -37n = 707n -527 + 707n = 180 + 37n + -37n Combine like terms: 37n + -37n = 0 -527 + 707n = 180 + 0 -527 + 707n = 180 Add '527' to each side of the equation. -527 + 527 + 707n = 180 + 527 Combine like terms: -527 + 527 = 0 0 + 707n = 180 + 527 707n = 180 + 527 Combine like terms: 180 + 527 = 707 707n = 707 Divide each side by '707'. n = 1 Simplifying n = 1
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