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Simplifying 3.5(n + -5) = 2(n + 4.5) Reorder the terms: 3.5(-5 + n) = 2(n + 4.5) (-5 * 3.5 + n * 3.5) = 2(n + 4.5) (-17.5 + 3.5n) = 2(n + 4.5) Reorder the terms: -17.5 + 3.5n = 2(4.5 + n) -17.5 + 3.5n = (4.5 * 2 + n * 2) -17.5 + 3.5n = (9 + 2n) Solving -17.5 + 3.5n = 9 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -17.5 + 3.5n + -2n = 9 + 2n + -2n Combine like terms: 3.5n + -2n = 1.5n -17.5 + 1.5n = 9 + 2n + -2n Combine like terms: 2n + -2n = 0 -17.5 + 1.5n = 9 + 0 -17.5 + 1.5n = 9 Add '17.5' to each side of the equation. -17.5 + 17.5 + 1.5n = 9 + 17.5 Combine like terms: -17.5 + 17.5 = 0.0 0.0 + 1.5n = 9 + 17.5 1.5n = 9 + 17.5 Combine like terms: 9 + 17.5 = 26.5 1.5n = 26.5 Divide each side by '1.5'. n = 17.66666667 Simplifying n = 17.66666667
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