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