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Simplifying -6n + -34 = -8(4n + 1) Reorder the terms: -34 + -6n = -8(4n + 1) Reorder the terms: -34 + -6n = -8(1 + 4n) -34 + -6n = (1 * -8 + 4n * -8) -34 + -6n = (-8 + -32n) Solving -34 + -6n = -8 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -34 + -6n + 32n = -8 + -32n + 32n Combine like terms: -6n + 32n = 26n -34 + 26n = -8 + -32n + 32n Combine like terms: -32n + 32n = 0 -34 + 26n = -8 + 0 -34 + 26n = -8 Add '34' to each side of the equation. -34 + 34 + 26n = -8 + 34 Combine like terms: -34 + 34 = 0 0 + 26n = -8 + 34 26n = -8 + 34 Combine like terms: -8 + 34 = 26 26n = 26 Divide each side by '26'. n = 1 Simplifying n = 1
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