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Simplifying 6(2n + -5) = 3(n + -2) Reorder the terms: 6(-5 + 2n) = 3(n + -2) (-5 * 6 + 2n * 6) = 3(n + -2) (-30 + 12n) = 3(n + -2) Reorder the terms: -30 + 12n = 3(-2 + n) -30 + 12n = (-2 * 3 + n * 3) -30 + 12n = (-6 + 3n) Solving -30 + 12n = -6 + 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. -30 + 12n + -3n = -6 + 3n + -3n Combine like terms: 12n + -3n = 9n -30 + 9n = -6 + 3n + -3n Combine like terms: 3n + -3n = 0 -30 + 9n = -6 + 0 -30 + 9n = -6 Add '30' to each side of the equation. -30 + 30 + 9n = -6 + 30 Combine like terms: -30 + 30 = 0 0 + 9n = -6 + 30 9n = -6 + 30 Combine like terms: -6 + 30 = 24 9n = 24 Divide each side by '9'. n = 2.666666667 Simplifying n = 2.666666667
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