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Simplifying -5n + 6n = 7(5n + -6) + -6n Combine like terms: -5n + 6n = 1n 1n = 7(5n + -6) + -6n Reorder the terms: 1n = 7(-6 + 5n) + -6n 1n = (-6 * 7 + 5n * 7) + -6n 1n = (-42 + 35n) + -6n Combine like terms: 35n + -6n = 29n 1n = -42 + 29n Solving 1n = -42 + 29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-29n' to each side of the equation. 1n + -29n = -42 + 29n + -29n Combine like terms: 1n + -29n = -28n -28n = -42 + 29n + -29n Combine like terms: 29n + -29n = 0 -28n = -42 + 0 -28n = -42 Divide each side by '-28'. n = 1.5 Simplifying n = 1.5
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