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Simplifying -84 = 6(3n + -5) Reorder the terms: -84 = 6(-5 + 3n) -84 = (-5 * 6 + 3n * 6) -84 = (-30 + 18n) Solving -84 = -30 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -84 + -18n = -30 + 18n + -18n Combine like terms: 18n + -18n = 0 -84 + -18n = -30 + 0 -84 + -18n = -30 Add '84' to each side of the equation. -84 + 84 + -18n = -30 + 84 Combine like terms: -84 + 84 = 0 0 + -18n = -30 + 84 -18n = -30 + 84 Combine like terms: -30 + 84 = 54 -18n = 54 Divide each side by '-18'. n = -3 Simplifying n = -3
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