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Simplifying -5x + -8(1 + 7n) = -8 -5x + (1 * -8 + 7n * -8) = -8 -5x + (-8 + -56n) = -8 Reorder the terms: -8 + -56n + -5x = -8 Add '8' to each side of the equation. -8 + -56n + 8 + -5x = -8 + 8 Reorder the terms: -8 + 8 + -56n + -5x = -8 + 8 Combine like terms: -8 + 8 = 0 0 + -56n + -5x = -8 + 8 -56n + -5x = -8 + 8 Combine like terms: -8 + 8 = 0 -56n + -5x = 0 Solving -56n + -5x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5x' to each side of the equation. -56n + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 -56n + 0 = 0 + 5x -56n = 0 + 5x Remove the zero: -56n = 5x Divide each side by '-56'. n = -0.08928571429x Simplifying n = -0.08928571429x
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