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Simplifying 3n + -19 = 5(4n + 7) + -8n Reorder the terms: -19 + 3n = 5(4n + 7) + -8n Reorder the terms: -19 + 3n = 5(7 + 4n) + -8n -19 + 3n = (7 * 5 + 4n * 5) + -8n -19 + 3n = (35 + 20n) + -8n Combine like terms: 20n + -8n = 12n -19 + 3n = 35 + 12n Solving -19 + 3n = 35 + 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 + 3n + -12n = 35 + 12n + -12n Combine like terms: 3n + -12n = -9n -19 + -9n = 35 + 12n + -12n Combine like terms: 12n + -12n = 0 -19 + -9n = 35 + 0 -19 + -9n = 35 Add '19' to each side of the equation. -19 + 19 + -9n = 35 + 19 Combine like terms: -19 + 19 = 0 0 + -9n = 35 + 19 -9n = 35 + 19 Combine like terms: 35 + 19 = 54 -9n = 54 Divide each side by '-9'. n = -6 Simplifying n = -6
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