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Simplifying 19 + 3n = 8(n + -2) Reorder the terms: 19 + 3n = 8(-2 + n) 19 + 3n = (-2 * 8 + n * 8) 19 + 3n = (-16 + 8n) Solving 19 + 3n = -16 + 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. 19 + 3n + -8n = -16 + 8n + -8n Combine like terms: 3n + -8n = -5n 19 + -5n = -16 + 8n + -8n Combine like terms: 8n + -8n = 0 19 + -5n = -16 + 0 19 + -5n = -16 Add '-19' to each side of the equation. 19 + -19 + -5n = -16 + -19 Combine like terms: 19 + -19 = 0 0 + -5n = -16 + -19 -5n = -16 + -19 Combine like terms: -16 + -19 = -35 -5n = -35 Divide each side by '-5'. n = 7 Simplifying n = 7
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