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Simplifying 6n + 4 = 3(n + -3) + 12 Reorder the terms: 4 + 6n = 3(n + -3) + 12 Reorder the terms: 4 + 6n = 3(-3 + n) + 12 4 + 6n = (-3 * 3 + n * 3) + 12 4 + 6n = (-9 + 3n) + 12 Reorder the terms: 4 + 6n = -9 + 12 + 3n Combine like terms: -9 + 12 = 3 4 + 6n = 3 + 3n Solving 4 + 6n = 3 + 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. 4 + 6n + -3n = 3 + 3n + -3n Combine like terms: 6n + -3n = 3n 4 + 3n = 3 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + 3n = 3 + 0 4 + 3n = 3 Add '-4' to each side of the equation. 4 + -4 + 3n = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 3n = 3 + -4 3n = 3 + -4 Combine like terms: 3 + -4 = -1 3n = -1 Divide each side by '3'. n = -0.3333333333 Simplifying n = -0.3333333333
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