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Simplifying 5(n + 3) + -8(3n + 4) = 0 Reorder the terms: 5(3 + n) + -8(3n + 4) = 0 (3 * 5 + n * 5) + -8(3n + 4) = 0 (15 + 5n) + -8(3n + 4) = 0 Reorder the terms: 15 + 5n + -8(4 + 3n) = 0 15 + 5n + (4 * -8 + 3n * -8) = 0 15 + 5n + (-32 + -24n) = 0 Reorder the terms: 15 + -32 + 5n + -24n = 0 Combine like terms: 15 + -32 = -17 -17 + 5n + -24n = 0 Combine like terms: 5n + -24n = -19n -17 + -19n = 0 Solving -17 + -19n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -19n = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -19n = 0 + 17 -19n = 0 + 17 Combine like terms: 0 + 17 = 17 -19n = 17 Divide each side by '-19'. n = -0.8947368421 Simplifying n = -0.8947368421
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