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Simplifying -5 + 6 = -7(5n + -6) + -6n Combine like terms: -5 + 6 = 1 1 = -7(5n + -6) + -6n Reorder the terms: 1 = -7(-6 + 5n) + -6n 1 = (-6 * -7 + 5n * -7) + -6n 1 = (42 + -35n) + -6n Combine like terms: -35n + -6n = -41n 1 = 42 + -41n Solving 1 = 42 + -41n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '41n' to each side of the equation. 1 + 41n = 42 + -41n + 41n Combine like terms: -41n + 41n = 0 1 + 41n = 42 + 0 1 + 41n = 42 Add '-1' to each side of the equation. 1 + -1 + 41n = 42 + -1 Combine like terms: 1 + -1 = 0 0 + 41n = 42 + -1 41n = 42 + -1 Combine like terms: 42 + -1 = 41 41n = 41 Divide each side by '41'. n = 1 Simplifying n = 1
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