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Simplifying 2(3n + -4) + -5(n + 4) = -8 Reorder the terms: 2(-4 + 3n) + -5(n + 4) = -8 (-4 * 2 + 3n * 2) + -5(n + 4) = -8 (-8 + 6n) + -5(n + 4) = -8 Reorder the terms: -8 + 6n + -5(4 + n) = -8 -8 + 6n + (4 * -5 + n * -5) = -8 -8 + 6n + (-20 + -5n) = -8 Reorder the terms: -8 + -20 + 6n + -5n = -8 Combine like terms: -8 + -20 = -28 -28 + 6n + -5n = -8 Combine like terms: 6n + -5n = 1n -28 + 1n = -8 Solving -28 + 1n = -8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 1n = -8 + 28 Combine like terms: -28 + 28 = 0 0 + 1n = -8 + 28 1n = -8 + 28 Combine like terms: -8 + 28 = 20 1n = 20 Divide each side by '1'. n = 20 Simplifying n = 20
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