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Simplifying 5(n + -6) + -1(7 + -4n) = 8 Reorder the terms: 5(-6 + n) + -1(7 + -4n) = 8 (-6 * 5 + n * 5) + -1(7 + -4n) = 8 (-30 + 5n) + -1(7 + -4n) = 8 -30 + 5n + (7 * -1 + -4n * -1) = 8 -30 + 5n + (-7 + 4n) = 8 Reorder the terms: -30 + -7 + 5n + 4n = 8 Combine like terms: -30 + -7 = -37 -37 + 5n + 4n = 8 Combine like terms: 5n + 4n = 9n -37 + 9n = 8 Solving -37 + 9n = 8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 9n = 8 + 37 Combine like terms: -37 + 37 = 0 0 + 9n = 8 + 37 9n = 8 + 37 Combine like terms: 8 + 37 = 45 9n = 45 Divide each side by '9'. n = 5 Simplifying n = 5
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