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