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Simplifying 19 + -8n = -5 + 4(7 + -3n) 19 + -8n = -5 + (7 * 4 + -3n * 4) 19 + -8n = -5 + (28 + -12n) Combine like terms: -5 + 28 = 23 19 + -8n = 23 + -12n Solving 19 + -8n = 23 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 19 + -8n + 12n = 23 + -12n + 12n Combine like terms: -8n + 12n = 4n 19 + 4n = 23 + -12n + 12n Combine like terms: -12n + 12n = 0 19 + 4n = 23 + 0 19 + 4n = 23 Add '-19' to each side of the equation. 19 + -19 + 4n = 23 + -19 Combine like terms: 19 + -19 = 0 0 + 4n = 23 + -19 4n = 23 + -19 Combine like terms: 23 + -19 = 4 4n = 4 Divide each side by '4'. n = 1 Simplifying n = 1
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