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Simplifying 0.9n + -19 + n = 2n + -10 + -0.4n Reorder the terms: -19 + 0.9n + n = 2n + -10 + -0.4n Combine like terms: 0.9n + n = 1.9n -19 + 1.9n = 2n + -10 + -0.4n Reorder the terms: -19 + 1.9n = -10 + 2n + -0.4n Combine like terms: 2n + -0.4n = 1.6n -19 + 1.9n = -10 + 1.6n Solving -19 + 1.9n = -10 + 1.6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.6n' to each side of the equation. -19 + 1.9n + -1.6n = -10 + 1.6n + -1.6n Combine like terms: 1.9n + -1.6n = 0.3n -19 + 0.3n = -10 + 1.6n + -1.6n Combine like terms: 1.6n + -1.6n = 0.0 -19 + 0.3n = -10 + 0.0 -19 + 0.3n = -10 Add '19' to each side of the equation. -19 + 19 + 0.3n = -10 + 19 Combine like terms: -19 + 19 = 0 0 + 0.3n = -10 + 19 0.3n = -10 + 19 Combine like terms: -10 + 19 = 9 0.3n = 9 Divide each side by '0.3'. n = 30 Simplifying n = 30
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