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Simplifying -86 = 7(n + -7) + 5 Reorder the terms: -86 = 7(-7 + n) + 5 -86 = (-7 * 7 + n * 7) + 5 -86 = (-49 + 7n) + 5 Reorder the terms: -86 = -49 + 5 + 7n Combine like terms: -49 + 5 = -44 -86 = -44 + 7n Solving -86 = -44 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -86 + -7n = -44 + 7n + -7n Combine like terms: 7n + -7n = 0 -86 + -7n = -44 + 0 -86 + -7n = -44 Add '86' to each side of the equation. -86 + 86 + -7n = -44 + 86 Combine like terms: -86 + 86 = 0 0 + -7n = -44 + 86 -7n = -44 + 86 Combine like terms: -44 + 86 = 42 -7n = 42 Divide each side by '-7'. n = -6 Simplifying n = -6
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