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Simplifying 0.4n + -18 = 3n + -16 + -0.9n Reorder the terms: -18 + 0.4n = 3n + -16 + -0.9n Reorder the terms: -18 + 0.4n = -16 + 3n + -0.9n Combine like terms: 3n + -0.9n = 2.1n -18 + 0.4n = -16 + 2.1n Solving -18 + 0.4n = -16 + 2.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2.1n' to each side of the equation. -18 + 0.4n + -2.1n = -16 + 2.1n + -2.1n Combine like terms: 0.4n + -2.1n = -1.7n -18 + -1.7n = -16 + 2.1n + -2.1n Combine like terms: 2.1n + -2.1n = 0.0 -18 + -1.7n = -16 + 0.0 -18 + -1.7n = -16 Add '18' to each side of the equation. -18 + 18 + -1.7n = -16 + 18 Combine like terms: -18 + 18 = 0 0 + -1.7n = -16 + 18 -1.7n = -16 + 18 Combine like terms: -16 + 18 = 2 -1.7n = 2 Divide each side by '-1.7'. n = -1.176470588 Simplifying n = -1.176470588
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