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Simplifying 0.06(n + 9) = -0.08n + 1.24 Reorder the terms: 0.06(9 + n) = -0.08n + 1.24 (9 * 0.06 + n * 0.06) = -0.08n + 1.24 (0.54 + 0.06n) = -0.08n + 1.24 Reorder the terms: 0.54 + 0.06n = 1.24 + -0.08n Solving 0.54 + 0.06n = 1.24 + -0.08n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.08n' to each side of the equation. 0.54 + 0.06n + 0.08n = 1.24 + -0.08n + 0.08n Combine like terms: 0.06n + 0.08n = 0.14n 0.54 + 0.14n = 1.24 + -0.08n + 0.08n Combine like terms: -0.08n + 0.08n = 0.00 0.54 + 0.14n = 1.24 + 0.00 0.54 + 0.14n = 1.24 Add '-0.54' to each side of the equation. 0.54 + -0.54 + 0.14n = 1.24 + -0.54 Combine like terms: 0.54 + -0.54 = 0.00 0.00 + 0.14n = 1.24 + -0.54 0.14n = 1.24 + -0.54 Combine like terms: 1.24 + -0.54 = 0.7 0.14n = 0.7 Divide each side by '0.14'. n = 5 Simplifying n = 5
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