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Simplifying 3n + -5 + 9n = 4 + 15n + 3 Reorder the terms: -5 + 3n + 9n = 4 + 15n + 3 Combine like terms: 3n + 9n = 12n -5 + 12n = 4 + 15n + 3 Reorder the terms: -5 + 12n = 4 + 3 + 15n Combine like terms: 4 + 3 = 7 -5 + 12n = 7 + 15n Solving -5 + 12n = 7 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -5 + 12n + -15n = 7 + 15n + -15n Combine like terms: 12n + -15n = -3n -5 + -3n = 7 + 15n + -15n Combine like terms: 15n + -15n = 0 -5 + -3n = 7 + 0 -5 + -3n = 7 Add '5' to each side of the equation. -5 + 5 + -3n = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -3n = 7 + 5 -3n = 7 + 5 Combine like terms: 7 + 5 = 12 -3n = 12 Divide each side by '-3'. n = -4 Simplifying n = -4
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