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Simplifying 34 + 7n = 7 + -5(3 + 7n) 34 + 7n = 7 + (3 * -5 + 7n * -5) 34 + 7n = 7 + (-15 + -35n) Combine like terms: 7 + -15 = -8 34 + 7n = -8 + -35n Solving 34 + 7n = -8 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 34 + 7n + 35n = -8 + -35n + 35n Combine like terms: 7n + 35n = 42n 34 + 42n = -8 + -35n + 35n Combine like terms: -35n + 35n = 0 34 + 42n = -8 + 0 34 + 42n = -8 Add '-34' to each side of the equation. 34 + -34 + 42n = -8 + -34 Combine like terms: 34 + -34 = 0 0 + 42n = -8 + -34 42n = -8 + -34 Combine like terms: -8 + -34 = -42 42n = -42 Divide each side by '42'. n = -1 Simplifying n = -1
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