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Simplifying 16n + 20 + -10n = -5 + 6(2n + 3) Reorder the terms: 20 + 16n + -10n = -5 + 6(2n + 3) Combine like terms: 16n + -10n = 6n 20 + 6n = -5 + 6(2n + 3) Reorder the terms: 20 + 6n = -5 + 6(3 + 2n) 20 + 6n = -5 + (3 * 6 + 2n * 6) 20 + 6n = -5 + (18 + 12n) Combine like terms: -5 + 18 = 13 20 + 6n = 13 + 12n Solving 20 + 6n = 13 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 20 + 6n + -12n = 13 + 12n + -12n Combine like terms: 6n + -12n = -6n 20 + -6n = 13 + 12n + -12n Combine like terms: 12n + -12n = 0 20 + -6n = 13 + 0 20 + -6n = 13 Add '-20' to each side of the equation. 20 + -20 + -6n = 13 + -20 Combine like terms: 20 + -20 = 0 0 + -6n = 13 + -20 -6n = 13 + -20 Combine like terms: 13 + -20 = -7 -6n = -7 Divide each side by '-6'. n = 1.166666667 Simplifying n = 1.166666667
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