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Simplifying (388 + -1n) = (n * 0.15) + (n * 0.09) + (n * 0.70) Remove parenthesis around (388 + -1n) 388 + -1n = (n * 0.15) + (n * 0.09) + (n * 0.70) Reorder the terms for easier multiplication: 388 + -1n = (0.15n) + (n * 0.09) + (n * 0.70) Reorder the terms for easier multiplication: 388 + -1n = (0.15n) + (0.09n) + (n * 0.70) Reorder the terms for easier multiplication: 388 + -1n = (0.15n) + (0.09n) + (0.70n) Combine like terms: (0.15n) + (0.09n) = 0.24n 388 + -1n = 0.24n + (0.70n) Combine like terms: 0.24n + (0.70n) = 0.94n 388 + -1n = 0.94n Solving 388 + -1n = 0.94n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.94n' to each side of the equation. 388 + -1n + -0.94n = 0.94n + -0.94n Combine like terms: -1n + -0.94n = -1.94n 388 + -1.94n = 0.94n + -0.94n Combine like terms: 0.94n + -0.94n = 0.00 388 + -1.94n = 0.00 Add '-388' to each side of the equation. 388 + -388 + -1.94n = 0.00 + -388 Combine like terms: 388 + -388 = 0 0 + -1.94n = 0.00 + -388 -1.94n = 0.00 + -388 Combine like terms: 0.00 + -388 = -388 -1.94n = -388 Divide each side by '-1.94'. n = 200 Simplifying n = 200
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