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Simplifying -5n + -4(-7n) = 6n + 34 Remove parenthesis around (-7n) -5n + -4 * -7n = 6n + 34 Multiply -4 * -7 -5n + 28n = 6n + 34 Combine like terms: -5n + 28n = 23n 23n = 6n + 34 Reorder the terms: 23n = 34 + 6n Solving 23n = 34 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 23n + -6n = 34 + 6n + -6n Combine like terms: 23n + -6n = 17n 17n = 34 + 6n + -6n Combine like terms: 6n + -6n = 0 17n = 34 + 0 17n = 34 Divide each side by '17'. n = 2 Simplifying n = 2
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