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Simplifying -5(1 + -5n) + -6(3 + 8n) = 46 (1 * -5 + -5n * -5) + -6(3 + 8n) = 46 (-5 + 25n) + -6(3 + 8n) = 46 -5 + 25n + (3 * -6 + 8n * -6) = 46 -5 + 25n + (-18 + -48n) = 46 Reorder the terms: -5 + -18 + 25n + -48n = 46 Combine like terms: -5 + -18 = -23 -23 + 25n + -48n = 46 Combine like terms: 25n + -48n = -23n -23 + -23n = 46 Solving -23 + -23n = 46 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -23n = 46 + 23 Combine like terms: -23 + 23 = 0 0 + -23n = 46 + 23 -23n = 46 + 23 Combine like terms: 46 + 23 = 69 -23n = 69 Divide each side by '-23'. n = -3 Simplifying n = -3
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