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Simplifying -8n + 19 + 4n = 70 + 3n + -9 Reorder the terms: 19 + -8n + 4n = 70 + 3n + -9 Combine like terms: -8n + 4n = -4n 19 + -4n = 70 + 3n + -9 Reorder the terms: 19 + -4n = 70 + -9 + 3n Combine like terms: 70 + -9 = 61 19 + -4n = 61 + 3n Solving 19 + -4n = 61 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 19 + -4n + -3n = 61 + 3n + -3n Combine like terms: -4n + -3n = -7n 19 + -7n = 61 + 3n + -3n Combine like terms: 3n + -3n = 0 19 + -7n = 61 + 0 19 + -7n = 61 Add '-19' to each side of the equation. 19 + -19 + -7n = 61 + -19 Combine like terms: 19 + -19 = 0 0 + -7n = 61 + -19 -7n = 61 + -19 Combine like terms: 61 + -19 = 42 -7n = 42 Divide each side by '-7'. n = -6 Simplifying n = -6
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