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Simplifying -6(n + -2) = 7 + -5n Reorder the terms: -6(-2 + n) = 7 + -5n (-2 * -6 + n * -6) = 7 + -5n (12 + -6n) = 7 + -5n Solving 12 + -6n = 7 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 12 + -6n + 5n = 7 + -5n + 5n Combine like terms: -6n + 5n = -1n 12 + -1n = 7 + -5n + 5n Combine like terms: -5n + 5n = 0 12 + -1n = 7 + 0 12 + -1n = 7 Add '-12' to each side of the equation. 12 + -12 + -1n = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -1n = 7 + -12 -1n = 7 + -12 Combine like terms: 7 + -12 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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