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Simplifying 4n + 5(7n + -3) = (n + -5) Reorder the terms: 4n + 5(-3 + 7n) = (n + -5) 4n + (-3 * 5 + 7n * 5) = (n + -5) 4n + (-15 + 35n) = (n + -5) Reorder the terms: -15 + 4n + 35n = (n + -5) Combine like terms: 4n + 35n = 39n -15 + 39n = (n + -5) Reorder the terms: -15 + 39n = (-5 + n) Remove parenthesis around (-5 + n) -15 + 39n = -5 + n Solving -15 + 39n = -5 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -15 + 39n + -1n = -5 + n + -1n Combine like terms: 39n + -1n = 38n -15 + 38n = -5 + n + -1n Combine like terms: n + -1n = 0 -15 + 38n = -5 + 0 -15 + 38n = -5 Add '15' to each side of the equation. -15 + 15 + 38n = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 38n = -5 + 15 38n = -5 + 15 Combine like terms: -5 + 15 = 10 38n = 10 Divide each side by '38'. n = 0.2631578947 Simplifying n = 0.2631578947
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