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Simplifying 3.5(n + 4) = -2.9(n + 9) Reorder the terms: 3.5(4 + n) = -2.9(n + 9) (4 * 3.5 + n * 3.5) = -2.9(n + 9) (14 + 3.5n) = -2.9(n + 9) Reorder the terms: 14 + 3.5n = -2.9(9 + n) 14 + 3.5n = (9 * -2.9 + n * -2.9) 14 + 3.5n = (-26.1 + -2.9n) Solving 14 + 3.5n = -26.1 + -2.9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2.9n' to each side of the equation. 14 + 3.5n + 2.9n = -26.1 + -2.9n + 2.9n Combine like terms: 3.5n + 2.9n = 6.4n 14 + 6.4n = -26.1 + -2.9n + 2.9n Combine like terms: -2.9n + 2.9n = 0.0 14 + 6.4n = -26.1 + 0.0 14 + 6.4n = -26.1 Add '-14' to each side of the equation. 14 + -14 + 6.4n = -26.1 + -14 Combine like terms: 14 + -14 = 0 0 + 6.4n = -26.1 + -14 6.4n = -26.1 + -14 Combine like terms: -26.1 + -14 = -40.1 6.4n = -40.1 Divide each side by '6.4'. n = -6.265625 Simplifying n = -6.265625
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