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Simplifying 5(2 + -7n) = 5(-1n + 8) (2 * 5 + -7n * 5) = 5(-1n + 8) (10 + -35n) = 5(-1n + 8) Reorder the terms: 10 + -35n = 5(8 + -1n) 10 + -35n = (8 * 5 + -1n * 5) 10 + -35n = (40 + -5n) Solving 10 + -35n = 40 + -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. 10 + -35n + 5n = 40 + -5n + 5n Combine like terms: -35n + 5n = -30n 10 + -30n = 40 + -5n + 5n Combine like terms: -5n + 5n = 0 10 + -30n = 40 + 0 10 + -30n = 40 Add '-10' to each side of the equation. 10 + -10 + -30n = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -30n = 40 + -10 -30n = 40 + -10 Combine like terms: 40 + -10 = 30 -30n = 30 Divide each side by '-30'. n = -1 Simplifying n = -1
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