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Simplifying 13 + -5n = -6(-1n + -8) + 2(5n + 2) Reorder the terms: 13 + -5n = -6(-8 + -1n) + 2(5n + 2) 13 + -5n = (-8 * -6 + -1n * -6) + 2(5n + 2) 13 + -5n = (48 + 6n) + 2(5n + 2) Reorder the terms: 13 + -5n = 48 + 6n + 2(2 + 5n) 13 + -5n = 48 + 6n + (2 * 2 + 5n * 2) 13 + -5n = 48 + 6n + (4 + 10n) Reorder the terms: 13 + -5n = 48 + 4 + 6n + 10n Combine like terms: 48 + 4 = 52 13 + -5n = 52 + 6n + 10n Combine like terms: 6n + 10n = 16n 13 + -5n = 52 + 16n Solving 13 + -5n = 52 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 13 + -5n + -16n = 52 + 16n + -16n Combine like terms: -5n + -16n = -21n 13 + -21n = 52 + 16n + -16n Combine like terms: 16n + -16n = 0 13 + -21n = 52 + 0 13 + -21n = 52 Add '-13' to each side of the equation. 13 + -13 + -21n = 52 + -13 Combine like terms: 13 + -13 = 0 0 + -21n = 52 + -13 -21n = 52 + -13 Combine like terms: 52 + -13 = 39 -21n = 39 Divide each side by '-21'. n = -1.857142857 Simplifying n = -1.857142857
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