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