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Simplifying 0.6n + -0.3(-3n + 2) = -2.4 + 0.6n Reorder the terms: 0.6n + -0.3(2 + -3n) = -2.4 + 0.6n 0.6n + (2 * -0.3 + -3n * -0.3) = -2.4 + 0.6n 0.6n + (-0.6 + 0.9n) = -2.4 + 0.6n Reorder the terms: -0.6 + 0.6n + 0.9n = -2.4 + 0.6n Combine like terms: 0.6n + 0.9n = 1.5n -0.6 + 1.5n = -2.4 + 0.6n Solving -0.6 + 1.5n = -2.4 + 0.6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.6n' to each side of the equation. -0.6 + 1.5n + -0.6n = -2.4 + 0.6n + -0.6n Combine like terms: 1.5n + -0.6n = 0.9n -0.6 + 0.9n = -2.4 + 0.6n + -0.6n Combine like terms: 0.6n + -0.6n = 0.0 -0.6 + 0.9n = -2.4 + 0.0 -0.6 + 0.9n = -2.4 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.9n = -2.4 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.9n = -2.4 + 0.6 0.9n = -2.4 + 0.6 Combine like terms: -2.4 + 0.6 = -1.8 0.9n = -1.8 Divide each side by '0.9'. n = -2 Simplifying n = -2
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