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Simplifying 6 = 6(-5n + -4) + 5(n + -4) Reorder the terms: 6 = 6(-4 + -5n) + 5(n + -4) 6 = (-4 * 6 + -5n * 6) + 5(n + -4) 6 = (-24 + -30n) + 5(n + -4) Reorder the terms: 6 = -24 + -30n + 5(-4 + n) 6 = -24 + -30n + (-4 * 5 + n * 5) 6 = -24 + -30n + (-20 + 5n) Reorder the terms: 6 = -24 + -20 + -30n + 5n Combine like terms: -24 + -20 = -44 6 = -44 + -30n + 5n Combine like terms: -30n + 5n = -25n 6 = -44 + -25n Solving 6 = -44 + -25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25n' to each side of the equation. 6 + 25n = -44 + -25n + 25n Combine like terms: -25n + 25n = 0 6 + 25n = -44 + 0 6 + 25n = -44 Add '-6' to each side of the equation. 6 + -6 + 25n = -44 + -6 Combine like terms: 6 + -6 = 0 0 + 25n = -44 + -6 25n = -44 + -6 Combine like terms: -44 + -6 = -50 25n = -50 Divide each side by '25'. n = -2 Simplifying n = -2
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