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Simplifying -7(8n + 5) = 22 + n Reorder the terms: -7(5 + 8n) = 22 + n (5 * -7 + 8n * -7) = 22 + n (-35 + -56n) = 22 + n Solving -35 + -56n = 22 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -35 + -56n + -1n = 22 + n + -1n Combine like terms: -56n + -1n = -57n -35 + -57n = 22 + n + -1n Combine like terms: n + -1n = 0 -35 + -57n = 22 + 0 -35 + -57n = 22 Add '35' to each side of the equation. -35 + 35 + -57n = 22 + 35 Combine like terms: -35 + 35 = 0 0 + -57n = 22 + 35 -57n = 22 + 35 Combine like terms: 22 + 35 = 57 -57n = 57 Divide each side by '-57'. n = -1 Simplifying n = -1
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