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Simplifying 2 + 3(4n + -3) = 2 + 3n Reorder the terms: 2 + 3(-3 + 4n) = 2 + 3n 2 + (-3 * 3 + 4n * 3) = 2 + 3n 2 + (-9 + 12n) = 2 + 3n Combine like terms: 2 + -9 = -7 -7 + 12n = 2 + 3n Solving -7 + 12n = 2 + 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. -7 + 12n + -3n = 2 + 3n + -3n Combine like terms: 12n + -3n = 9n -7 + 9n = 2 + 3n + -3n Combine like terms: 3n + -3n = 0 -7 + 9n = 2 + 0 -7 + 9n = 2 Add '7' to each side of the equation. -7 + 7 + 9n = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 9n = 2 + 7 9n = 2 + 7 Combine like terms: 2 + 7 = 9 9n = 9 Divide each side by '9'. n = 1 Simplifying n = 1
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