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Simplifying 10 + -6 + -6n + 15n = -2 + 12n + 12 Combine like terms: 10 + -6 = 4 4 + -6n + 15n = -2 + 12n + 12 Combine like terms: -6n + 15n = 9n 4 + 9n = -2 + 12n + 12 Reorder the terms: 4 + 9n = -2 + 12 + 12n Combine like terms: -2 + 12 = 10 4 + 9n = 10 + 12n Solving 4 + 9n = 10 + 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. 4 + 9n + -12n = 10 + 12n + -12n Combine like terms: 9n + -12n = -3n 4 + -3n = 10 + 12n + -12n Combine like terms: 12n + -12n = 0 4 + -3n = 10 + 0 4 + -3n = 10 Add '-4' to each side of the equation. 4 + -4 + -3n = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -3n = 10 + -4 -3n = 10 + -4 Combine like terms: 10 + -4 = 6 -3n = 6 Divide each side by '-3'. n = -2 Simplifying n = -2
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