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Simplifying 34 + 5n = -7(n + 1) + 5 Reorder the terms: 34 + 5n = -7(1 + n) + 5 34 + 5n = (1 * -7 + n * -7) + 5 34 + 5n = (-7 + -7n) + 5 Reorder the terms: 34 + 5n = -7 + 5 + -7n Combine like terms: -7 + 5 = -2 34 + 5n = -2 + -7n Solving 34 + 5n = -2 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 34 + 5n + 7n = -2 + -7n + 7n Combine like terms: 5n + 7n = 12n 34 + 12n = -2 + -7n + 7n Combine like terms: -7n + 7n = 0 34 + 12n = -2 + 0 34 + 12n = -2 Add '-34' to each side of the equation. 34 + -34 + 12n = -2 + -34 Combine like terms: 34 + -34 = 0 0 + 12n = -2 + -34 12n = -2 + -34 Combine like terms: -2 + -34 = -36 12n = -36 Divide each side by '12'. n = -3 Simplifying n = -3
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