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Simplifying -8(n + 2) + 17 = -4n + -19 Reorder the terms: -8(2 + n) + 17 = -4n + -19 (2 * -8 + n * -8) + 17 = -4n + -19 (-16 + -8n) + 17 = -4n + -19 Reorder the terms: -16 + 17 + -8n = -4n + -19 Combine like terms: -16 + 17 = 1 1 + -8n = -4n + -19 Reorder the terms: 1 + -8n = -19 + -4n Solving 1 + -8n = -19 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 1 + -8n + 4n = -19 + -4n + 4n Combine like terms: -8n + 4n = -4n 1 + -4n = -19 + -4n + 4n Combine like terms: -4n + 4n = 0 1 + -4n = -19 + 0 1 + -4n = -19 Add '-1' to each side of the equation. 1 + -1 + -4n = -19 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = -19 + -1 -4n = -19 + -1 Combine like terms: -19 + -1 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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