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Simplifying -7n + -34 = 2(-7 + -6n) Reorder the terms: -34 + -7n = 2(-7 + -6n) -34 + -7n = (-7 * 2 + -6n * 2) -34 + -7n = (-14 + -12n) Solving -34 + -7n = -14 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -34 + -7n + 12n = -14 + -12n + 12n Combine like terms: -7n + 12n = 5n -34 + 5n = -14 + -12n + 12n Combine like terms: -12n + 12n = 0 -34 + 5n = -14 + 0 -34 + 5n = -14 Add '34' to each side of the equation. -34 + 34 + 5n = -14 + 34 Combine like terms: -34 + 34 = 0 0 + 5n = -14 + 34 5n = -14 + 34 Combine like terms: -14 + 34 = 20 5n = 20 Divide each side by '5'. n = 4 Simplifying n = 4
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