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Simplifying -5(1 + -3n) + 6(3n + -2) = 0 (1 * -5 + -3n * -5) + 6(3n + -2) = 0 (-5 + 15n) + 6(3n + -2) = 0 Reorder the terms: -5 + 15n + 6(-2 + 3n) = 0 -5 + 15n + (-2 * 6 + 3n * 6) = 0 -5 + 15n + (-12 + 18n) = 0 Reorder the terms: -5 + -12 + 15n + 18n = 0 Combine like terms: -5 + -12 = -17 -17 + 15n + 18n = 0 Combine like terms: 15n + 18n = 33n -17 + 33n = 0 Solving -17 + 33n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 33n = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 33n = 0 + 17 33n = 0 + 17 Combine like terms: 0 + 17 = 17 33n = 17 Divide each side by '33'. n = 0.5151515152 Simplifying n = 0.5151515152
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