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Simplifying 5(2n + -3) = 4(-3n + 2) Reorder the terms: 5(-3 + 2n) = 4(-3n + 2) (-3 * 5 + 2n * 5) = 4(-3n + 2) (-15 + 10n) = 4(-3n + 2) Reorder the terms: -15 + 10n = 4(2 + -3n) -15 + 10n = (2 * 4 + -3n * 4) -15 + 10n = (8 + -12n) Solving -15 + 10n = 8 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -15 + 10n + 12n = 8 + -12n + 12n Combine like terms: 10n + 12n = 22n -15 + 22n = 8 + -12n + 12n Combine like terms: -12n + 12n = 0 -15 + 22n = 8 + 0 -15 + 22n = 8 Add '15' to each side of the equation. -15 + 15 + 22n = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 22n = 8 + 15 22n = 8 + 15 Combine like terms: 8 + 15 = 23 22n = 23 Divide each side by '22'. n = 1.045454545 Simplifying n = 1.045454545
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