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Simplifying -19 + 8n = 3(-7n + -5) + -8 Reorder the terms: -19 + 8n = 3(-5 + -7n) + -8 -19 + 8n = (-5 * 3 + -7n * 3) + -8 -19 + 8n = (-15 + -21n) + -8 Reorder the terms: -19 + 8n = -15 + -8 + -21n Combine like terms: -15 + -8 = -23 -19 + 8n = -23 + -21n Solving -19 + 8n = -23 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. -19 + 8n + 21n = -23 + -21n + 21n Combine like terms: 8n + 21n = 29n -19 + 29n = -23 + -21n + 21n Combine like terms: -21n + 21n = 0 -19 + 29n = -23 + 0 -19 + 29n = -23 Add '19' to each side of the equation. -19 + 19 + 29n = -23 + 19 Combine like terms: -19 + 19 = 0 0 + 29n = -23 + 19 29n = -23 + 19 Combine like terms: -23 + 19 = -4 29n = -4 Divide each side by '29'. n = -0.1379310345 Simplifying n = -0.1379310345
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