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Simplifying 7(n + -7) = 2n + -34 Reorder the terms: 7(-7 + n) = 2n + -34 (-7 * 7 + n * 7) = 2n + -34 (-49 + 7n) = 2n + -34 Reorder the terms: -49 + 7n = -34 + 2n Solving -49 + 7n = -34 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -49 + 7n + -2n = -34 + 2n + -2n Combine like terms: 7n + -2n = 5n -49 + 5n = -34 + 2n + -2n Combine like terms: 2n + -2n = 0 -49 + 5n = -34 + 0 -49 + 5n = -34 Add '49' to each side of the equation. -49 + 49 + 5n = -34 + 49 Combine like terms: -49 + 49 = 0 0 + 5n = -34 + 49 5n = -34 + 49 Combine like terms: -34 + 49 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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