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Simplifying 2(3n + 2) = 0.5(-3n + 2) Reorder the terms: 2(2 + 3n) = 0.5(-3n + 2) (2 * 2 + 3n * 2) = 0.5(-3n + 2) (4 + 6n) = 0.5(-3n + 2) Reorder the terms: 4 + 6n = 0.5(2 + -3n) 4 + 6n = (2 * 0.5 + -3n * 0.5) 4 + 6n = (1 + -1.5n) Solving 4 + 6n = 1 + -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. 4 + 6n + 1.5n = 1 + -1.5n + 1.5n Combine like terms: 6n + 1.5n = 7.5n 4 + 7.5n = 1 + -1.5n + 1.5n Combine like terms: -1.5n + 1.5n = 0.0 4 + 7.5n = 1 + 0.0 4 + 7.5n = 1 Add '-4' to each side of the equation. 4 + -4 + 7.5n = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 7.5n = 1 + -4 7.5n = 1 + -4 Combine like terms: 1 + -4 = -3 7.5n = -3 Divide each side by '7.5'. n = -0.4 Simplifying n = -0.4
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