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Simplifying -8n + -19 = -2(8n + -3) + 3n Reorder the terms: -19 + -8n = -2(8n + -3) + 3n Reorder the terms: -19 + -8n = -2(-3 + 8n) + 3n -19 + -8n = (-3 * -2 + 8n * -2) + 3n -19 + -8n = (6 + -16n) + 3n Combine like terms: -16n + 3n = -13n -19 + -8n = 6 + -13n Solving -19 + -8n = 6 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. -19 + -8n + 13n = 6 + -13n + 13n Combine like terms: -8n + 13n = 5n -19 + 5n = 6 + -13n + 13n Combine like terms: -13n + 13n = 0 -19 + 5n = 6 + 0 -19 + 5n = 6 Add '19' to each side of the equation. -19 + 19 + 5n = 6 + 19 Combine like terms: -19 + 19 = 0 0 + 5n = 6 + 19 5n = 6 + 19 Combine like terms: 6 + 19 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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