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Simplifying -38 + 3n = 2n + 5(2 + 5n) -38 + 3n = 2n + (2 * 5 + 5n * 5) -38 + 3n = 2n + (10 + 25n) Reorder the terms: -38 + 3n = 10 + 2n + 25n Combine like terms: 2n + 25n = 27n -38 + 3n = 10 + 27n Solving -38 + 3n = 10 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. -38 + 3n + -27n = 10 + 27n + -27n Combine like terms: 3n + -27n = -24n -38 + -24n = 10 + 27n + -27n Combine like terms: 27n + -27n = 0 -38 + -24n = 10 + 0 -38 + -24n = 10 Add '38' to each side of the equation. -38 + 38 + -24n = 10 + 38 Combine like terms: -38 + 38 = 0 0 + -24n = 10 + 38 -24n = 10 + 38 Combine like terms: 10 + 38 = 48 -24n = 48 Divide each side by '-24'. n = -2 Simplifying n = -2
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