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Simplifying 0.1(n + -0.75) = 0.375(n + 0.1) Reorder the terms: 0.1(-0.75 + n) = 0.375(n + 0.1) (-0.75 * 0.1 + n * 0.1) = 0.375(n + 0.1) (-0.075 + 0.1n) = 0.375(n + 0.1) Reorder the terms: -0.075 + 0.1n = 0.375(0.1 + n) -0.075 + 0.1n = (0.1 * 0.375 + n * 0.375) -0.075 + 0.1n = (0.0375 + 0.375n) Solving -0.075 + 0.1n = 0.0375 + 0.375n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.375n' to each side of the equation. -0.075 + 0.1n + -0.375n = 0.0375 + 0.375n + -0.375n Combine like terms: 0.1n + -0.375n = -0.275n -0.075 + -0.275n = 0.0375 + 0.375n + -0.375n Combine like terms: 0.375n + -0.375n = 0.000 -0.075 + -0.275n = 0.0375 + 0.000 -0.075 + -0.275n = 0.0375 Add '0.075' to each side of the equation. -0.075 + 0.075 + -0.275n = 0.0375 + 0.075 Combine like terms: -0.075 + 0.075 = 0.000 0.000 + -0.275n = 0.0375 + 0.075 -0.275n = 0.0375 + 0.075 Combine like terms: 0.0375 + 0.075 = 0.1125 -0.275n = 0.1125 Divide each side by '-0.275'. n = -0.4090909091 Simplifying n = -0.4090909091
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