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Simplifying -3(-5n + 2) = 5[-3n + 3(-1n + -3)] Reorder the terms: -3(2 + -5n) = 5[-3n + 3(-1n + -3)] (2 * -3 + -5n * -3) = 5[-3n + 3(-1n + -3)] (-6 + 15n) = 5[-3n + 3(-1n + -3)] Reorder the terms: -6 + 15n = 5[-3n + 3(-3 + -1n)] -6 + 15n = 5[-3n + (-3 * 3 + -1n * 3)] -6 + 15n = 5[-3n + (-9 + -3n)] Reorder the terms: -6 + 15n = 5[-9 + -3n + -3n] Combine like terms: -3n + -3n = -6n -6 + 15n = 5[-9 + -6n] -6 + 15n = [-9 * 5 + -6n * 5] -6 + 15n = [-45 + -30n] Solving -6 + 15n = -45 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. -6 + 15n + 30n = -45 + -30n + 30n Combine like terms: 15n + 30n = 45n -6 + 45n = -45 + -30n + 30n Combine like terms: -30n + 30n = 0 -6 + 45n = -45 + 0 -6 + 45n = -45 Add '6' to each side of the equation. -6 + 6 + 45n = -45 + 6 Combine like terms: -6 + 6 = 0 0 + 45n = -45 + 6 45n = -45 + 6 Combine like terms: -45 + 6 = -39 45n = -39 Divide each side by '45'. n = -0.8666666667 Simplifying n = -0.8666666667
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