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Simplifying 4(7n + -3) + 5n = 0 Reorder the terms: 4(-3 + 7n) + 5n = 0 (-3 * 4 + 7n * 4) + 5n = 0 (-12 + 28n) + 5n = 0 Combine like terms: 28n + 5n = 33n -12 + 33n = 0 Solving -12 + 33n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 33n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 33n = 0 + 12 33n = 0 + 12 Combine like terms: 0 + 12 = 12 33n = 12 Divide each side by '33'. n = 0.3636363636 Simplifying n = 0.3636363636
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