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Simplifying n(0.74) + 135(0.47) = (135 + n)(0.59) Reorder the terms for easier multiplication: 0.74n + 135(0.47) = (135 + n)(0.59) Multiply 135 * 0.47 0.74n + 63.45 = (135 + n)(0.59) Reorder the terms: 63.45 + 0.74n = (135 + n)(0.59) Reorder the terms for easier multiplication: 63.45 + 0.74n = 0.59(135 + n) 63.45 + 0.74n = (135 * 0.59 + n * 0.59) 63.45 + 0.74n = (79.65 + 0.59n) Solving 63.45 + 0.74n = 79.65 + 0.59n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.59n' to each side of the equation. 63.45 + 0.74n + -0.59n = 79.65 + 0.59n + -0.59n Combine like terms: 0.74n + -0.59n = 0.15n 63.45 + 0.15n = 79.65 + 0.59n + -0.59n Combine like terms: 0.59n + -0.59n = 0.00 63.45 + 0.15n = 79.65 + 0.00 63.45 + 0.15n = 79.65 Add '-63.45' to each side of the equation. 63.45 + -63.45 + 0.15n = 79.65 + -63.45 Combine like terms: 63.45 + -63.45 = 0.00 0.00 + 0.15n = 79.65 + -63.45 0.15n = 79.65 + -63.45 Combine like terms: 79.65 + -63.45 = 16.2 0.15n = 16.2 Divide each side by '0.15'. n = 108 Simplifying n = 108
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