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Simplifying 6(7n + -5) + -1[2(5n + -3) + 3] = 0 Reorder the terms: 6(-5 + 7n) + -1[2(5n + -3) + 3] = 0 (-5 * 6 + 7n * 6) + -1[2(5n + -3) + 3] = 0 (-30 + 42n) + -1[2(5n + -3) + 3] = 0 Reorder the terms: -30 + 42n + -1[2(-3 + 5n) + 3] = 0 -30 + 42n + -1[(-3 * 2 + 5n * 2) + 3] = 0 -30 + 42n + -1[(-6 + 10n) + 3] = 0 Reorder the terms: -30 + 42n + -1[-6 + 3 + 10n] = 0 Combine like terms: -6 + 3 = -3 -30 + 42n + -1[-3 + 10n] = 0 -30 + 42n + [-3 * -1 + 10n * -1] = 0 -30 + 42n + [3 + -10n] = 0 Reorder the terms: -30 + 3 + 42n + -10n = 0 Combine like terms: -30 + 3 = -27 -27 + 42n + -10n = 0 Combine like terms: 42n + -10n = 32n -27 + 32n = 0 Solving -27 + 32n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 32n = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 32n = 0 + 27 32n = 0 + 27 Combine like terms: 0 + 27 = 27 32n = 27 Divide each side by '32'. n = 0.84375 Simplifying n = 0.84375
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