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Simplifying 7(2n + -5) = (5n + 5) + 1 Reorder the terms: 7(-5 + 2n) = (5n + 5) + 1 (-5 * 7 + 2n * 7) = (5n + 5) + 1 (-35 + 14n) = (5n + 5) + 1 Reorder the terms: -35 + 14n = (5 + 5n) + 1 Remove parenthesis around (5 + 5n) -35 + 14n = 5 + 5n + 1 Reorder the terms: -35 + 14n = 5 + 1 + 5n Combine like terms: 5 + 1 = 6 -35 + 14n = 6 + 5n Solving -35 + 14n = 6 + 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. -35 + 14n + -5n = 6 + 5n + -5n Combine like terms: 14n + -5n = 9n -35 + 9n = 6 + 5n + -5n Combine like terms: 5n + -5n = 0 -35 + 9n = 6 + 0 -35 + 9n = 6 Add '35' to each side of the equation. -35 + 35 + 9n = 6 + 35 Combine like terms: -35 + 35 = 0 0 + 9n = 6 + 35 9n = 6 + 35 Combine like terms: 6 + 35 = 41 9n = 41 Divide each side by '9'. n = 4.555555556 Simplifying n = 4.555555556
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