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Simplifying 6(8n + 5) = -3(-18n + -6) Reorder the terms: 6(5 + 8n) = -3(-18n + -6) (5 * 6 + 8n * 6) = -3(-18n + -6) (30 + 48n) = -3(-18n + -6) Reorder the terms: 30 + 48n = -3(-6 + -18n) 30 + 48n = (-6 * -3 + -18n * -3) 30 + 48n = (18 + 54n) Solving 30 + 48n = 18 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 30 + 48n + -54n = 18 + 54n + -54n Combine like terms: 48n + -54n = -6n 30 + -6n = 18 + 54n + -54n Combine like terms: 54n + -54n = 0 30 + -6n = 18 + 0 30 + -6n = 18 Add '-30' to each side of the equation. 30 + -30 + -6n = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -6n = 18 + -30 -6n = 18 + -30 Combine like terms: 18 + -30 = -12 -6n = -12 Divide each side by '-6'. n = 2 Simplifying n = 2
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