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Simplifying 25 + -9(3n + 4) = 5(6n + 1) + -17n Reorder the terms: 25 + -9(4 + 3n) = 5(6n + 1) + -17n 25 + (4 * -9 + 3n * -9) = 5(6n + 1) + -17n 25 + (-36 + -27n) = 5(6n + 1) + -17n Combine like terms: 25 + -36 = -11 -11 + -27n = 5(6n + 1) + -17n Reorder the terms: -11 + -27n = 5(1 + 6n) + -17n -11 + -27n = (1 * 5 + 6n * 5) + -17n -11 + -27n = (5 + 30n) + -17n Combine like terms: 30n + -17n = 13n -11 + -27n = 5 + 13n Solving -11 + -27n = 5 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. -11 + -27n + -13n = 5 + 13n + -13n Combine like terms: -27n + -13n = -40n -11 + -40n = 5 + 13n + -13n Combine like terms: 13n + -13n = 0 -11 + -40n = 5 + 0 -11 + -40n = 5 Add '11' to each side of the equation. -11 + 11 + -40n = 5 + 11 Combine like terms: -11 + 11 = 0 0 + -40n = 5 + 11 -40n = 5 + 11 Combine like terms: 5 + 11 = 16 -40n = 16 Divide each side by '-40'. n = -0.4 Simplifying n = -0.4
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