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Simplifying 4(3n + -4) + -5(n + 2) = 2 Reorder the terms: 4(-4 + 3n) + -5(n + 2) = 2 (-4 * 4 + 3n * 4) + -5(n + 2) = 2 (-16 + 12n) + -5(n + 2) = 2 Reorder the terms: -16 + 12n + -5(2 + n) = 2 -16 + 12n + (2 * -5 + n * -5) = 2 -16 + 12n + (-10 + -5n) = 2 Reorder the terms: -16 + -10 + 12n + -5n = 2 Combine like terms: -16 + -10 = -26 -26 + 12n + -5n = 2 Combine like terms: 12n + -5n = 7n -26 + 7n = 2 Solving -26 + 7n = 2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 7n = 2 + 26 Combine like terms: -26 + 26 = 0 0 + 7n = 2 + 26 7n = 2 + 26 Combine like terms: 2 + 26 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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