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Simplifying 4n + -5(n + -2n + 3) = 3n + 12 Reorder the terms: 4n + -5(3 + n + -2n) = 3n + 12 Combine like terms: n + -2n = -1n 4n + -5(3 + -1n) = 3n + 12 4n + (3 * -5 + -1n * -5) = 3n + 12 4n + (-15 + 5n) = 3n + 12 Reorder the terms: -15 + 4n + 5n = 3n + 12 Combine like terms: 4n + 5n = 9n -15 + 9n = 3n + 12 Reorder the terms: -15 + 9n = 12 + 3n Solving -15 + 9n = 12 + 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. -15 + 9n + -3n = 12 + 3n + -3n Combine like terms: 9n + -3n = 6n -15 + 6n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -15 + 6n = 12 + 0 -15 + 6n = 12 Add '15' to each side of the equation. -15 + 15 + 6n = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 6n = 12 + 15 6n = 12 + 15 Combine like terms: 12 + 15 = 27 6n = 27 Divide each side by '6'. n = 4.5 Simplifying n = 4.5
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