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Simplifying -5n + 34 = -1 + -5(4n + -4) Reorder the terms: 34 + -5n = -1 + -5(4n + -4) Reorder the terms: 34 + -5n = -1 + -5(-4 + 4n) 34 + -5n = -1 + (-4 * -5 + 4n * -5) 34 + -5n = -1 + (20 + -20n) Combine like terms: -1 + 20 = 19 34 + -5n = 19 + -20n Solving 34 + -5n = 19 + -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 + -5n + 20n = 19 + -20n + 20n Combine like terms: -5n + 20n = 15n 34 + 15n = 19 + -20n + 20n Combine like terms: -20n + 20n = 0 34 + 15n = 19 + 0 34 + 15n = 19 Add '-34' to each side of the equation. 34 + -34 + 15n = 19 + -34 Combine like terms: 34 + -34 = 0 0 + 15n = 19 + -34 15n = 19 + -34 Combine like terms: 19 + -34 = -15 15n = -15 Divide each side by '15'. n = -1 Simplifying n = -1
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