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Simplifying 8(n + -6) + -1(5n + 8) = 5n + -6n Reorder the terms: 8(-6 + n) + -1(5n + 8) = 5n + -6n (-6 * 8 + n * 8) + -1(5n + 8) = 5n + -6n (-48 + 8n) + -1(5n + 8) = 5n + -6n Reorder the terms: -48 + 8n + -1(8 + 5n) = 5n + -6n -48 + 8n + (8 * -1 + 5n * -1) = 5n + -6n -48 + 8n + (-8 + -5n) = 5n + -6n Reorder the terms: -48 + -8 + 8n + -5n = 5n + -6n Combine like terms: -48 + -8 = -56 -56 + 8n + -5n = 5n + -6n Combine like terms: 8n + -5n = 3n -56 + 3n = 5n + -6n Combine like terms: 5n + -6n = -1n -56 + 3n = -1n Solving -56 + 3n = -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -56 + 3n + n = -1n + n Combine like terms: 3n + n = 4n -56 + 4n = -1n + n Combine like terms: -1n + n = 0 -56 + 4n = 0 Add '56' to each side of the equation. -56 + 56 + 4n = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 4n = 0 + 56 4n = 0 + 56 Combine like terms: 0 + 56 = 56 4n = 56 Divide each side by '4'. n = 14 Simplifying n = 14
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