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Simplifying 6(n + -1) = 7n + -6 Reorder the terms: 6(-1 + n) = 7n + -6 (-1 * 6 + n * 6) = 7n + -6 (-6 + 6n) = 7n + -6 Reorder the terms: -6 + 6n = -6 + 7n Add '6' to each side of the equation. -6 + 6 + 6n = -6 + 6 + 7n Combine like terms: -6 + 6 = 0 0 + 6n = -6 + 6 + 7n 6n = -6 + 6 + 7n Combine like terms: -6 + 6 = 0 6n = 0 + 7n 6n = 7n Solving 6n = 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. 6n + -7n = 7n + -7n Combine like terms: 6n + -7n = -1n -1n = 7n + -7n Combine like terms: 7n + -7n = 0 -1n = 0 Divide each side by '-1'. n = 0 Simplifying n = 0
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