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Simplifying 3(6n + -1) + -2(n + 3) = 0 Reorder the terms: 3(-1 + 6n) + -2(n + 3) = 0 (-1 * 3 + 6n * 3) + -2(n + 3) = 0 (-3 + 18n) + -2(n + 3) = 0 Reorder the terms: -3 + 18n + -2(3 + n) = 0 -3 + 18n + (3 * -2 + n * -2) = 0 -3 + 18n + (-6 + -2n) = 0 Reorder the terms: -3 + -6 + 18n + -2n = 0 Combine like terms: -3 + -6 = -9 -9 + 18n + -2n = 0 Combine like terms: 18n + -2n = 16n -9 + 16n = 0 Solving -9 + 16n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 16n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 16n = 0 + 9 16n = 0 + 9 Combine like terms: 0 + 9 = 9 16n = 9 Divide each side by '16'. n = 0.5625 Simplifying n = 0.5625
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