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Simplifying 58 = 2(n + -3) + 5(5n + 2) Reorder the terms: 58 = 2(-3 + n) + 5(5n + 2) 58 = (-3 * 2 + n * 2) + 5(5n + 2) 58 = (-6 + 2n) + 5(5n + 2) Reorder the terms: 58 = -6 + 2n + 5(2 + 5n) 58 = -6 + 2n + (2 * 5 + 5n * 5) 58 = -6 + 2n + (10 + 25n) Reorder the terms: 58 = -6 + 10 + 2n + 25n Combine like terms: -6 + 10 = 4 58 = 4 + 2n + 25n Combine like terms: 2n + 25n = 27n 58 = 4 + 27n Solving 58 = 4 + 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. 58 + -27n = 4 + 27n + -27n Combine like terms: 27n + -27n = 0 58 + -27n = 4 + 0 58 + -27n = 4 Add '-58' to each side of the equation. 58 + -58 + -27n = 4 + -58 Combine like terms: 58 + -58 = 0 0 + -27n = 4 + -58 -27n = 4 + -58 Combine like terms: 4 + -58 = -54 -27n = -54 Divide each side by '-27'. n = 2 Simplifying n = 2
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