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Simplifying -7(5n + -2) + 2n = -7n + -38 Reorder the terms: -7(-2 + 5n) + 2n = -7n + -38 (-2 * -7 + 5n * -7) + 2n = -7n + -38 (14 + -35n) + 2n = -7n + -38 Combine like terms: -35n + 2n = -33n 14 + -33n = -7n + -38 Reorder the terms: 14 + -33n = -38 + -7n Solving 14 + -33n = -38 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 14 + -33n + 7n = -38 + -7n + 7n Combine like terms: -33n + 7n = -26n 14 + -26n = -38 + -7n + 7n Combine like terms: -7n + 7n = 0 14 + -26n = -38 + 0 14 + -26n = -38 Add '-14' to each side of the equation. 14 + -14 + -26n = -38 + -14 Combine like terms: 14 + -14 = 0 0 + -26n = -38 + -14 -26n = -38 + -14 Combine like terms: -38 + -14 = -52 -26n = -52 Divide each side by '-26'. n = 2 Simplifying n = 2
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