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Simplifying 7(5n + -3) = 5n + 9 Reorder the terms: 7(-3 + 5n) = 5n + 9 (-3 * 7 + 5n * 7) = 5n + 9 (-21 + 35n) = 5n + 9 Reorder the terms: -21 + 35n = 9 + 5n Solving -21 + 35n = 9 + 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. -21 + 35n + -5n = 9 + 5n + -5n Combine like terms: 35n + -5n = 30n -21 + 30n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 -21 + 30n = 9 + 0 -21 + 30n = 9 Add '21' to each side of the equation. -21 + 21 + 30n = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 30n = 9 + 21 30n = 9 + 21 Combine like terms: 9 + 21 = 30 30n = 30 Divide each side by '30'. n = 1 Simplifying n = 1
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