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Simplifying -3 + -8(n + -1) = 19 + 6n Reorder the terms: -3 + -8(-1 + n) = 19 + 6n -3 + (-1 * -8 + n * -8) = 19 + 6n -3 + (8 + -8n) = 19 + 6n Combine like terms: -3 + 8 = 5 5 + -8n = 19 + 6n Solving 5 + -8n = 19 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 5 + -8n + -6n = 19 + 6n + -6n Combine like terms: -8n + -6n = -14n 5 + -14n = 19 + 6n + -6n Combine like terms: 6n + -6n = 0 5 + -14n = 19 + 0 5 + -14n = 19 Add '-5' to each side of the equation. 5 + -5 + -14n = 19 + -5 Combine like terms: 5 + -5 = 0 0 + -14n = 19 + -5 -14n = 19 + -5 Combine like terms: 19 + -5 = 14 -14n = 14 Divide each side by '-14'. n = -1 Simplifying n = -1
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