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