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Simplifying 9 + -5n = 12 + -1(6n + 7) Reorder the terms: 9 + -5n = 12 + -1(7 + 6n) 9 + -5n = 12 + (7 * -1 + 6n * -1) 9 + -5n = 12 + (-7 + -6n) Combine like terms: 12 + -7 = 5 9 + -5n = 5 + -6n Solving 9 + -5n = 5 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 9 + -5n + 6n = 5 + -6n + 6n Combine like terms: -5n + 6n = 1n 9 + 1n = 5 + -6n + 6n Combine like terms: -6n + 6n = 0 9 + 1n = 5 + 0 9 + 1n = 5 Add '-9' to each side of the equation. 9 + -9 + 1n = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1n = 5 + -9 1n = 5 + -9 Combine like terms: 5 + -9 = -4 1n = -4 Divide each side by '1'. n = -4 Simplifying n = -4
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