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Simplifying 0.5(3n + -3) = 0.4(3n + 1) Reorder the terms: 0.5(-3 + 3n) = 0.4(3n + 1) (-3 * 0.5 + 3n * 0.5) = 0.4(3n + 1) (-1.5 + 1.5n) = 0.4(3n + 1) Reorder the terms: -1.5 + 1.5n = 0.4(1 + 3n) -1.5 + 1.5n = (1 * 0.4 + 3n * 0.4) -1.5 + 1.5n = (0.4 + 1.2n) Solving -1.5 + 1.5n = 0.4 + 1.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.2n' to each side of the equation. -1.5 + 1.5n + -1.2n = 0.4 + 1.2n + -1.2n Combine like terms: 1.5n + -1.2n = 0.3n -1.5 + 0.3n = 0.4 + 1.2n + -1.2n Combine like terms: 1.2n + -1.2n = 0.0 -1.5 + 0.3n = 0.4 + 0.0 -1.5 + 0.3n = 0.4 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.3n = 0.4 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.3n = 0.4 + 1.5 0.3n = 0.4 + 1.5 Combine like terms: 0.4 + 1.5 = 1.9 0.3n = 1.9 Divide each side by '0.3'. n = 6.333333333 Simplifying n = 6.333333333
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