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Simplifying 40 + -5n = -5(7n + 4) Reorder the terms: 40 + -5n = -5(4 + 7n) 40 + -5n = (4 * -5 + 7n * -5) 40 + -5n = (-20 + -35n) Solving 40 + -5n = -20 + -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. 40 + -5n + 35n = -20 + -35n + 35n Combine like terms: -5n + 35n = 30n 40 + 30n = -20 + -35n + 35n Combine like terms: -35n + 35n = 0 40 + 30n = -20 + 0 40 + 30n = -20 Add '-40' to each side of the equation. 40 + -40 + 30n = -20 + -40 Combine like terms: 40 + -40 = 0 0 + 30n = -20 + -40 30n = -20 + -40 Combine like terms: -20 + -40 = -60 30n = -60 Divide each side by '30'. n = -2 Simplifying n = -2
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