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Simplifying -34 + 4n = 5(3 + 4n) + 1 -34 + 4n = (3 * 5 + 4n * 5) + 1 -34 + 4n = (15 + 20n) + 1 Reorder the terms: -34 + 4n = 15 + 1 + 20n Combine like terms: 15 + 1 = 16 -34 + 4n = 16 + 20n Solving -34 + 4n = 16 + 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. -34 + 4n + -20n = 16 + 20n + -20n Combine like terms: 4n + -20n = -16n -34 + -16n = 16 + 20n + -20n Combine like terms: 20n + -20n = 0 -34 + -16n = 16 + 0 -34 + -16n = 16 Add '34' to each side of the equation. -34 + 34 + -16n = 16 + 34 Combine like terms: -34 + 34 = 0 0 + -16n = 16 + 34 -16n = 16 + 34 Combine like terms: 16 + 34 = 50 -16n = 50 Divide each side by '-16'. n = -3.125 Simplifying n = -3.125
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