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Simplifying 5n + -19 + n + 7 = 144 + -6n Reorder the terms: -19 + 7 + 5n + n = 144 + -6n Combine like terms: -19 + 7 = -12 -12 + 5n + n = 144 + -6n Combine like terms: 5n + n = 6n -12 + 6n = 144 + -6n Solving -12 + 6n = 144 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -12 + 6n + 6n = 144 + -6n + 6n Combine like terms: 6n + 6n = 12n -12 + 12n = 144 + -6n + 6n Combine like terms: -6n + 6n = 0 -12 + 12n = 144 + 0 -12 + 12n = 144 Add '12' to each side of the equation. -12 + 12 + 12n = 144 + 12 Combine like terms: -12 + 12 = 0 0 + 12n = 144 + 12 12n = 144 + 12 Combine like terms: 144 + 12 = 156 12n = 156 Divide each side by '12'. n = 13 Simplifying n = 13
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