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Simplifying -5n + -8(1 + 7n) = -6x + -22 -5n + (1 * -8 + 7n * -8) = -6x + -22 -5n + (-8 + -56n) = -6x + -22 Reorder the terms: -8 + -5n + -56n = -6x + -22 Combine like terms: -5n + -56n = -61n -8 + -61n = -6x + -22 Reorder the terms: -8 + -61n = -22 + -6x Solving -8 + -61n = -22 + -6x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -61n = -22 + 8 + -6x Combine like terms: -8 + 8 = 0 0 + -61n = -22 + 8 + -6x -61n = -22 + 8 + -6x Combine like terms: -22 + 8 = -14 -61n = -14 + -6x Divide each side by '-61'. n = 0.2295081967 + 0.09836065574x Simplifying n = 0.2295081967 + 0.09836065574x
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