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Simplifying 12n + -8 = 10 + 3(n + 3) Reorder the terms: -8 + 12n = 10 + 3(n + 3) Reorder the terms: -8 + 12n = 10 + 3(3 + n) -8 + 12n = 10 + (3 * 3 + n * 3) -8 + 12n = 10 + (9 + 3n) Combine like terms: 10 + 9 = 19 -8 + 12n = 19 + 3n Solving -8 + 12n = 19 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -8 + 12n + -3n = 19 + 3n + -3n Combine like terms: 12n + -3n = 9n -8 + 9n = 19 + 3n + -3n Combine like terms: 3n + -3n = 0 -8 + 9n = 19 + 0 -8 + 9n = 19 Add '8' to each side of the equation. -8 + 8 + 9n = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 9n = 19 + 8 9n = 19 + 8 Combine like terms: 19 + 8 = 27 9n = 27 Divide each side by '9'. n = 3 Simplifying n = 3
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