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Simplifying -70 = -7(n + 2) + -7(-7n + 8) Reorder the terms: -70 = -7(2 + n) + -7(-7n + 8) -70 = (2 * -7 + n * -7) + -7(-7n + 8) -70 = (-14 + -7n) + -7(-7n + 8) Reorder the terms: -70 = -14 + -7n + -7(8 + -7n) -70 = -14 + -7n + (8 * -7 + -7n * -7) -70 = -14 + -7n + (-56 + 49n) Reorder the terms: -70 = -14 + -56 + -7n + 49n Combine like terms: -14 + -56 = -70 -70 = -70 + -7n + 49n Combine like terms: -7n + 49n = 42n -70 = -70 + 42n Add '70' to each side of the equation. -70 + 70 = -70 + 70 + 42n Combine like terms: -70 + 70 = 0 0 = -70 + 70 + 42n Combine like terms: -70 + 70 = 0 0 = 0 + 42n 0 = 42n Solving 0 = 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 0 + -42n = 42n + -42n Remove the zero: -42n = 42n + -42n Combine like terms: 42n + -42n = 0 -42n = 0 Divide each side by '-42'. n = 0 Simplifying n = 0
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