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Simplifying 7(n + -6) = 5n + 58 Reorder the terms: 7(-6 + n) = 5n + 58 (-6 * 7 + n * 7) = 5n + 58 (-42 + 7n) = 5n + 58 Reorder the terms: -42 + 7n = 58 + 5n Solving -42 + 7n = 58 + 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. -42 + 7n + -5n = 58 + 5n + -5n Combine like terms: 7n + -5n = 2n -42 + 2n = 58 + 5n + -5n Combine like terms: 5n + -5n = 0 -42 + 2n = 58 + 0 -42 + 2n = 58 Add '42' to each side of the equation. -42 + 42 + 2n = 58 + 42 Combine like terms: -42 + 42 = 0 0 + 2n = 58 + 42 2n = 58 + 42 Combine like terms: 58 + 42 = 100 2n = 100 Divide each side by '2'. n = 50 Simplifying n = 50
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