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Simplifying 1.5(9n + -6) = 4(n + 1) Reorder the terms: 1.5(-6 + 9n) = 4(n + 1) (-6 * 1.5 + 9n * 1.5) = 4(n + 1) (-9 + 13.5n) = 4(n + 1) Reorder the terms: -9 + 13.5n = 4(1 + n) -9 + 13.5n = (1 * 4 + n * 4) -9 + 13.5n = (4 + 4n) Solving -9 + 13.5n = 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. -9 + 13.5n + -4n = 4 + 4n + -4n Combine like terms: 13.5n + -4n = 9.5n -9 + 9.5n = 4 + 4n + -4n Combine like terms: 4n + -4n = 0 -9 + 9.5n = 4 + 0 -9 + 9.5n = 4 Add '9' to each side of the equation. -9 + 9 + 9.5n = 4 + 9 Combine like terms: -9 + 9 = 0 0 + 9.5n = 4 + 9 9.5n = 4 + 9 Combine like terms: 4 + 9 = 13 9.5n = 13 Divide each side by '9.5'. n = 1.368421053 Simplifying n = 1.368421053
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