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Simplifying 0.6(10n + -3) = -1.5(n + 2) + -0.3 Reorder the terms: 0.6(-3 + 10n) = -1.5(n + 2) + -0.3 (-3 * 0.6 + 10n * 0.6) = -1.5(n + 2) + -0.3 (-1.8 + 6n) = -1.5(n + 2) + -0.3 Reorder the terms: -1.8 + 6n = -1.5(2 + n) + -0.3 -1.8 + 6n = (2 * -1.5 + n * -1.5) + -0.3 -1.8 + 6n = (-3 + -1.5n) + -0.3 Reorder the terms: -1.8 + 6n = -3 + -0.3 + -1.5n Combine like terms: -3 + -0.3 = -3.3 -1.8 + 6n = -3.3 + -1.5n Solving -1.8 + 6n = -3.3 + -1.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1.5n' to each side of the equation. -1.8 + 6n + 1.5n = -3.3 + -1.5n + 1.5n Combine like terms: 6n + 1.5n = 7.5n -1.8 + 7.5n = -3.3 + -1.5n + 1.5n Combine like terms: -1.5n + 1.5n = 0.0 -1.8 + 7.5n = -3.3 + 0.0 -1.8 + 7.5n = -3.3 Add '1.8' to each side of the equation. -1.8 + 1.8 + 7.5n = -3.3 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 7.5n = -3.3 + 1.8 7.5n = -3.3 + 1.8 Combine like terms: -3.3 + 1.8 = -1.5 7.5n = -1.5 Divide each side by '7.5'. n = -0.2 Simplifying n = -0.2
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