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Simplifying -6(3n + 1) = -150 Reorder the terms: -6(1 + 3n) = -150 (1 * -6 + 3n * -6) = -150 (-6 + -18n) = -150 Solving -6 + -18n = -150 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -18n = -150 + 6 Combine like terms: -6 + 6 = 0 0 + -18n = -150 + 6 -18n = -150 + 6 Combine like terms: -150 + 6 = -144 -18n = -144 Divide each side by '-18'. n = 8 Simplifying n = 8
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