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Simplifying 34 + 7n = -1(6n + 2) + -3 Reorder the terms: 34 + 7n = -1(2 + 6n) + -3 34 + 7n = (2 * -1 + 6n * -1) + -3 34 + 7n = (-2 + -6n) + -3 Reorder the terms: 34 + 7n = -2 + -3 + -6n Combine like terms: -2 + -3 = -5 34 + 7n = -5 + -6n Solving 34 + 7n = -5 + -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. 34 + 7n + 6n = -5 + -6n + 6n Combine like terms: 7n + 6n = 13n 34 + 13n = -5 + -6n + 6n Combine like terms: -6n + 6n = 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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