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Simplifying 5n + 34 = -29(1 + -7) Reorder the terms: 34 + 5n = -29(1 + -7) Combine like terms: 1 + -7 = -6 34 + 5n = -29(-6) Multiply -29 * -6 34 + 5n = 174 Solving 34 + 5n = 174 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 5n = 174 + -34 Combine like terms: 34 + -34 = 0 0 + 5n = 174 + -34 5n = 174 + -34 Combine like terms: 174 + -34 = 140 5n = 140 Divide each side by '5'. n = 28 Simplifying n = 28
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