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Simplifying 2(n + 4) + -5(3 + -1n) = 0 Reorder the terms: 2(4 + n) + -5(3 + -1n) = 0 (4 * 2 + n * 2) + -5(3 + -1n) = 0 (8 + 2n) + -5(3 + -1n) = 0 8 + 2n + (3 * -5 + -1n * -5) = 0 8 + 2n + (-15 + 5n) = 0 Reorder the terms: 8 + -15 + 2n + 5n = 0 Combine like terms: 8 + -15 = -7 -7 + 2n + 5n = 0 Combine like terms: 2n + 5n = 7n -7 + 7n = 0 Solving -7 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 7n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 7n = 0 + 7 7n = 0 + 7 Combine like terms: 0 + 7 = 7 7n = 7 Divide each side by '7'. n = 1 Simplifying n = 1
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