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Simplifying 8[4(n + -4) + 18] + -1[3(2n + -3) + 3] = 0 Reorder the terms: 8[4(-4 + n) + 18] + -1[3(2n + -3) + 3] = 0 8[(-4 * 4 + n * 4) + 18] + -1[3(2n + -3) + 3] = 0 8[(-16 + 4n) + 18] + -1[3(2n + -3) + 3] = 0 Reorder the terms: 8[-16 + 18 + 4n] + -1[3(2n + -3) + 3] = 0 Combine like terms: -16 + 18 = 2 8[2 + 4n] + -1[3(2n + -3) + 3] = 0 [2 * 8 + 4n * 8] + -1[3(2n + -3) + 3] = 0 [16 + 32n] + -1[3(2n + -3) + 3] = 0 Reorder the terms: 16 + 32n + -1[3(-3 + 2n) + 3] = 0 16 + 32n + -1[(-3 * 3 + 2n * 3) + 3] = 0 16 + 32n + -1[(-9 + 6n) + 3] = 0 Reorder the terms: 16 + 32n + -1[-9 + 3 + 6n] = 0 Combine like terms: -9 + 3 = -6 16 + 32n + -1[-6 + 6n] = 0 16 + 32n + [-6 * -1 + 6n * -1] = 0 16 + 32n + [6 + -6n] = 0 Reorder the terms: 16 + 6 + 32n + -6n = 0 Combine like terms: 16 + 6 = 22 22 + 32n + -6n = 0 Combine like terms: 32n + -6n = 26n 22 + 26n = 0 Solving 22 + 26n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 26n = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 26n = 0 + -22 26n = 0 + -22 Combine like terms: 0 + -22 = -22 26n = -22 Divide each side by '26'. n = -0.8461538462 Simplifying n = -0.8461538462
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