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Simplifying 0.6(9n + -6) = 4(n + 1) Reorder the terms: 0.6(-6 + 9n) = 4(n + 1) (-6 * 0.6 + 9n * 0.6) = 4(n + 1) (-3.6 + 5.4n) = 4(n + 1) Reorder the terms: -3.6 + 5.4n = 4(1 + n) -3.6 + 5.4n = (1 * 4 + n * 4) -3.6 + 5.4n = (4 + 4n) Solving -3.6 + 5.4n = 4 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -3.6 + 5.4n + -4n = 4 + 4n + -4n Combine like terms: 5.4n + -4n = 1.4n -3.6 + 1.4n = 4 + 4n + -4n Combine like terms: 4n + -4n = 0 -3.6 + 1.4n = 4 + 0 -3.6 + 1.4n = 4 Add '3.6' to each side of the equation. -3.6 + 3.6 + 1.4n = 4 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 1.4n = 4 + 3.6 1.4n = 4 + 3.6 Combine like terms: 4 + 3.6 = 7.6 1.4n = 7.6 Divide each side by '1.4'. n = 5.428571429 Simplifying n = 5.428571429
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