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Simplifying 5(n + -4) = 5(7n + 8) Reorder the terms: 5(-4 + n) = 5(7n + 8) (-4 * 5 + n * 5) = 5(7n + 8) (-20 + 5n) = 5(7n + 8) Reorder the terms: -20 + 5n = 5(8 + 7n) -20 + 5n = (8 * 5 + 7n * 5) -20 + 5n = (40 + 35n) Solving -20 + 5n = 40 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. -20 + 5n + -35n = 40 + 35n + -35n Combine like terms: 5n + -35n = -30n -20 + -30n = 40 + 35n + -35n Combine like terms: 35n + -35n = 0 -20 + -30n = 40 + 0 -20 + -30n = 40 Add '20' to each side of the equation. -20 + 20 + -30n = 40 + 20 Combine like terms: -20 + 20 = 0 0 + -30n = 40 + 20 -30n = 40 + 20 Combine like terms: 40 + 20 = 60 -30n = 60 Divide each side by '-30'. n = -2 Simplifying n = -2
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