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Simplifying -7(8n + -6) = -22 + 8n Reorder the terms: -7(-6 + 8n) = -22 + 8n (-6 * -7 + 8n * -7) = -22 + 8n (42 + -56n) = -22 + 8n Solving 42 + -56n = -22 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 42 + -56n + -8n = -22 + 8n + -8n Combine like terms: -56n + -8n = -64n 42 + -64n = -22 + 8n + -8n Combine like terms: 8n + -8n = 0 42 + -64n = -22 + 0 42 + -64n = -22 Add '-42' to each side of the equation. 42 + -42 + -64n = -22 + -42 Combine like terms: 42 + -42 = 0 0 + -64n = -22 + -42 -64n = -22 + -42 Combine like terms: -22 + -42 = -64 -64n = -64 Divide each side by '-64'. n = 1 Simplifying n = 1
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