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Simplifying -1n + -39 = -5(1 + 7n) Reorder the terms: -39 + -1n = -5(1 + 7n) -39 + -1n = (1 * -5 + 7n * -5) -39 + -1n = (-5 + -35n) Solving -39 + -1n = -5 + -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. -39 + -1n + 35n = -5 + -35n + 35n Combine like terms: -1n + 35n = 34n -39 + 34n = -5 + -35n + 35n Combine like terms: -35n + 35n = 0 -39 + 34n = -5 + 0 -39 + 34n = -5 Add '39' to each side of the equation. -39 + 39 + 34n = -5 + 39 Combine like terms: -39 + 39 = 0 0 + 34n = -5 + 39 34n = -5 + 39 Combine like terms: -5 + 39 = 34 34n = 34 Divide each side by '34'. n = 1 Simplifying n = 1
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