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Simplifying -8 = -5n + -8(1 + 7n) -8 = -5n + (1 * -8 + 7n * -8) -8 = -5n + (-8 + -56n) Reorder the terms: -8 = -8 + -5n + -56n Combine like terms: -5n + -56n = -61n -8 = -8 + -61n Add '8' to each side of the equation. -8 + 8 = -8 + 8 + -61n Combine like terms: -8 + 8 = 0 0 = -8 + 8 + -61n Combine like terms: -8 + 8 = 0 0 = 0 + -61n 0 = -61n Solving 0 = -61n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '61n' to each side of the equation. 0 + 61n = -61n + 61n Remove the zero: 61n = -61n + 61n Combine like terms: -61n + 61n = 0 61n = 0 Divide each side by '61'. n = 0 Simplifying n = 0
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