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Simplifying -1(1 + 7n) + -6(-7 + -1n) = 36 (1 * -1 + 7n * -1) + -6(-7 + -1n) = 36 (-1 + -7n) + -6(-7 + -1n) = 36 -1 + -7n + (-7 * -6 + -1n * -6) = 36 -1 + -7n + (42 + 6n) = 36 Reorder the terms: -1 + 42 + -7n + 6n = 36 Combine like terms: -1 + 42 = 41 41 + -7n + 6n = 36 Combine like terms: -7n + 6n = -1n 41 + -1n = 36 Solving 41 + -1n = 36 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -1n = 36 + -41 Combine like terms: 41 + -41 = 0 0 + -1n = 36 + -41 -1n = 36 + -41 Combine like terms: 36 + -41 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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