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Simplifying -5n = 7(6 + -1n) -5n = (6 * 7 + -1n * 7) -5n = (42 + -7n) Solving -5n = 42 + -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. -5n + 7n = 42 + -7n + 7n Combine like terms: -5n + 7n = 2n 2n = 42 + -7n + 7n Combine like terms: -7n + 7n = 0 2n = 42 + 0 2n = 42 Divide each side by '2'. n = 21 Simplifying n = 21
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