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Simplifying -6(5 + 3n) = 114 (5 * -6 + 3n * -6) = 114 (-30 + -18n) = 114 Solving -30 + -18n = 114 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -18n = 114 + 30 Combine like terms: -30 + 30 = 0 0 + -18n = 114 + 30 -18n = 114 + 30 Combine like terms: 114 + 30 = 144 -18n = 144 Divide each side by '-18'. n = -8 Simplifying n = -8
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