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Simplifying 4(0.6n + -3) + -0.2(2n + -3) = 0 Reorder the terms: 4(-3 + 0.6n) + -0.2(2n + -3) = 0 (-3 * 4 + 0.6n * 4) + -0.2(2n + -3) = 0 (-12 + 2.4n) + -0.2(2n + -3) = 0 Reorder the terms: -12 + 2.4n + -0.2(-3 + 2n) = 0 -12 + 2.4n + (-3 * -0.2 + 2n * -0.2) = 0 -12 + 2.4n + (0.6 + -0.4n) = 0 Reorder the terms: -12 + 0.6 + 2.4n + -0.4n = 0 Combine like terms: -12 + 0.6 = -11.4 -11.4 + 2.4n + -0.4n = 0 Combine like terms: 2.4n + -0.4n = 2n -11.4 + 2n = 0 Solving -11.4 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11.4' to each side of the equation. -11.4 + 11.4 + 2n = 0 + 11.4 Combine like terms: -11.4 + 11.4 = 0.0 0.0 + 2n = 0 + 11.4 2n = 0 + 11.4 Combine like terms: 0 + 11.4 = 11.4 2n = 11.4 Divide each side by '2'. n = 5.7 Simplifying n = 5.7
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