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Simplifying 4(6n + -5) + -1[3(3n + -3) + 4] = 0 Reorder the terms: 4(-5 + 6n) + -1[3(3n + -3) + 4] = 0 (-5 * 4 + 6n * 4) + -1[3(3n + -3) + 4] = 0 (-20 + 24n) + -1[3(3n + -3) + 4] = 0 Reorder the terms: -20 + 24n + -1[3(-3 + 3n) + 4] = 0 -20 + 24n + -1[(-3 * 3 + 3n * 3) + 4] = 0 -20 + 24n + -1[(-9 + 9n) + 4] = 0 Reorder the terms: -20 + 24n + -1[-9 + 4 + 9n] = 0 Combine like terms: -9 + 4 = -5 -20 + 24n + -1[-5 + 9n] = 0 -20 + 24n + [-5 * -1 + 9n * -1] = 0 -20 + 24n + [5 + -9n] = 0 Reorder the terms: -20 + 5 + 24n + -9n = 0 Combine like terms: -20 + 5 = -15 -15 + 24n + -9n = 0 Combine like terms: 24n + -9n = 15n -15 + 15n = 0 Solving -15 + 15n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 15n = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 15n = 0 + 15 15n = 0 + 15 Combine like terms: 0 + 15 = 15 15n = 15 Divide each side by '15'. n = 1 Simplifying n = 1
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