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Simplifying -34 + -6n = -5(3n + 5) Reorder the terms: -34 + -6n = -5(5 + 3n) -34 + -6n = (5 * -5 + 3n * -5) -34 + -6n = (-25 + -15n) Solving -34 + -6n = -25 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -34 + -6n + 15n = -25 + -15n + 15n Combine like terms: -6n + 15n = 9n -34 + 9n = -25 + -15n + 15n Combine like terms: -15n + 15n = 0 -34 + 9n = -25 + 0 -34 + 9n = -25 Add '34' to each side of the equation. -34 + 34 + 9n = -25 + 34 Combine like terms: -34 + 34 = 0 0 + 9n = -25 + 34 9n = -25 + 34 Combine like terms: -25 + 34 = 9 9n = 9 Divide each side by '9'. n = 1 Simplifying n = 1
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