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Simplifying (194 + -1n) = (n * 0.15) + (n * 0.09) + (n * 0.70) Remove parenthesis around (194 + -1n) 194 + -1n = (n * 0.15) + (n * 0.09) + (n * 0.70) Reorder the terms for easier multiplication: 194 + -1n = (0.15n) + (n * 0.09) + (n * 0.70) Reorder the terms for easier multiplication: 194 + -1n = (0.15n) + (0.09n) + (n * 0.70) Reorder the terms for easier multiplication: 194 + -1n = (0.15n) + (0.09n) + (0.70n) Combine like terms: (0.15n) + (0.09n) = 0.24n 194 + -1n = 0.24n + (0.70n) Combine like terms: 0.24n + (0.70n) = 0.94n 194 + -1n = 0.94n Solving 194 + -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. 194 + -1n + -0.94n = 0.94n + -0.94n Combine like terms: -1n + -0.94n = -1.94n 194 + -1.94n = 0.94n + -0.94n Combine like terms: 0.94n + -0.94n = 0.00 194 + -1.94n = 0.00 Add '-194' to each side of the equation. 194 + -194 + -1.94n = 0.00 + -194 Combine like terms: 194 + -194 = 0 0 + -1.94n = 0.00 + -194 -1.94n = 0.00 + -194 Combine like terms: 0.00 + -194 = -194 -1.94n = -194 Divide each side by '-1.94'. n = 100 Simplifying n = 100
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