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Simplifying -7 + -7(5n + 1) = 91 Reorder the terms: -7 + -7(1 + 5n) = 91 -7 + (1 * -7 + 5n * -7) = 91 -7 + (-7 + -35n) = 91 Combine like terms: -7 + -7 = -14 -14 + -35n = 91 Solving -14 + -35n = 91 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -35n = 91 + 14 Combine like terms: -14 + 14 = 0 0 + -35n = 91 + 14 -35n = 91 + 14 Combine like terms: 91 + 14 = 105 -35n = 105 Divide each side by '-35'. n = -3 Simplifying n = -3
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