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Simplifying 5(3n + -3) + 4(2 + -1n) = 0 Reorder the terms: 5(-3 + 3n) + 4(2 + -1n) = 0 (-3 * 5 + 3n * 5) + 4(2 + -1n) = 0 (-15 + 15n) + 4(2 + -1n) = 0 -15 + 15n + (2 * 4 + -1n * 4) = 0 -15 + 15n + (8 + -4n) = 0 Reorder the terms: -15 + 8 + 15n + -4n = 0 Combine like terms: -15 + 8 = -7 -7 + 15n + -4n = 0 Combine like terms: 15n + -4n = 11n -7 + 11n = 0 Solving -7 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 11n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 11n = 0 + 7 11n = 0 + 7 Combine like terms: 0 + 7 = 7 11n = 7 Divide each side by '11'. n = 0.6363636364 Simplifying n = 0.6363636364
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