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Simplifying -7(n + -6) = 34 + -3n Reorder the terms: -7(-6 + n) = 34 + -3n (-6 * -7 + n * -7) = 34 + -3n (42 + -7n) = 34 + -3n Solving 42 + -7n = 34 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 42 + -7n + 3n = 34 + -3n + 3n Combine like terms: -7n + 3n = -4n 42 + -4n = 34 + -3n + 3n Combine like terms: -3n + 3n = 0 42 + -4n = 34 + 0 42 + -4n = 34 Add '-42' to each side of the equation. 42 + -42 + -4n = 34 + -42 Combine like terms: 42 + -42 = 0 0 + -4n = 34 + -42 -4n = 34 + -42 Combine like terms: 34 + -42 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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