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Simplifying 9n + 3n + -10 = 3(3n + 4) Reorder the terms: -10 + 9n + 3n = 3(3n + 4) Combine like terms: 9n + 3n = 12n -10 + 12n = 3(3n + 4) Reorder the terms: -10 + 12n = 3(4 + 3n) -10 + 12n = (4 * 3 + 3n * 3) -10 + 12n = (12 + 9n) Solving -10 + 12n = 12 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -10 + 12n + -9n = 12 + 9n + -9n Combine like terms: 12n + -9n = 3n -10 + 3n = 12 + 9n + -9n Combine like terms: 9n + -9n = 0 -10 + 3n = 12 + 0 -10 + 3n = 12 Add '10' to each side of the equation. -10 + 10 + 3n = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 3n = 12 + 10 3n = 12 + 10 Combine like terms: 12 + 10 = 22 3n = 22 Divide each side by '3'. n = 7.333333333 Simplifying n = 7.333333333
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