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Simplifying 34 + -7n = -5(1 + 4n) 34 + -7n = (1 * -5 + 4n * -5) 34 + -7n = (-5 + -20n) Solving 34 + -7n = -5 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. 34 + -7n + 20n = -5 + -20n + 20n Combine like terms: -7n + 20n = 13n 34 + 13n = -5 + -20n + 20n Combine like terms: -20n + 20n = 0 34 + 13n = -5 + 0 34 + 13n = -5 Add '-34' to each side of the equation. 34 + -34 + 13n = -5 + -34 Combine like terms: 34 + -34 = 0 0 + 13n = -5 + -34 13n = -5 + -34 Combine like terms: -5 + -34 = -39 13n = -39 Divide each side by '13'. n = -3 Simplifying n = -3
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