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Simplifying -3n + -11 = 5(4n + 7) Reorder the terms: -11 + -3n = 5(4n + 7) Reorder the terms: -11 + -3n = 5(7 + 4n) -11 + -3n = (7 * 5 + 4n * 5) -11 + -3n = (35 + 20n) Solving -11 + -3n = 35 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -11 + -3n + -20n = 35 + 20n + -20n Combine like terms: -3n + -20n = -23n -11 + -23n = 35 + 20n + -20n Combine like terms: 20n + -20n = 0 -11 + -23n = 35 + 0 -11 + -23n = 35 Add '11' to each side of the equation. -11 + 11 + -23n = 35 + 11 Combine like terms: -11 + 11 = 0 0 + -23n = 35 + 11 -23n = 35 + 11 Combine like terms: 35 + 11 = 46 -23n = 46 Divide each side by '-23'. n = -2 Simplifying n = -2
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