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Simplifying 3(n + -6) + -1(8n + -5) = -6n Reorder the terms: 3(-6 + n) + -1(8n + -5) = -6n (-6 * 3 + n * 3) + -1(8n + -5) = -6n (-18 + 3n) + -1(8n + -5) = -6n Reorder the terms: -18 + 3n + -1(-5 + 8n) = -6n -18 + 3n + (-5 * -1 + 8n * -1) = -6n -18 + 3n + (5 + -8n) = -6n Reorder the terms: -18 + 5 + 3n + -8n = -6n Combine like terms: -18 + 5 = -13 -13 + 3n + -8n = -6n Combine like terms: 3n + -8n = -5n -13 + -5n = -6n Solving -13 + -5n = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -13 + -5n + 6n = -6n + 6n Combine like terms: -5n + 6n = 1n -13 + 1n = -6n + 6n Combine like terms: -6n + 6n = 0 -13 + 1n = 0 Add '13' to each side of the equation. -13 + 13 + 1n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 1n = 0 + 13 1n = 0 + 13 Combine like terms: 0 + 13 = 13 1n = 13 Divide each side by '1'. n = 13 Simplifying n = 13
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