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Simplifying 3(2n + -1) = 9(n + -3) Reorder the terms: 3(-1 + 2n) = 9(n + -3) (-1 * 3 + 2n * 3) = 9(n + -3) (-3 + 6n) = 9(n + -3) Reorder the terms: -3 + 6n = 9(-3 + n) -3 + 6n = (-3 * 9 + n * 9) -3 + 6n = (-27 + 9n) Solving -3 + 6n = -27 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -3 + 6n + -9n = -27 + 9n + -9n Combine like terms: 6n + -9n = -3n -3 + -3n = -27 + 9n + -9n Combine like terms: 9n + -9n = 0 -3 + -3n = -27 + 0 -3 + -3n = -27 Add '3' to each side of the equation. -3 + 3 + -3n = -27 + 3 Combine like terms: -3 + 3 = 0 0 + -3n = -27 + 3 -3n = -27 + 3 Combine like terms: -27 + 3 = -24 -3n = -24 Divide each side by '-3'. n = 8 Simplifying n = 8
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