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Simplifying 0.15(90) + 0.05n = 0.25(90 + n) Multiply 0.15 * 90 13.5 + 0.05n = 0.25(90 + n) 13.5 + 0.05n = (90 * 0.25 + n * 0.25) 13.5 + 0.05n = (22.5 + 0.25n) Solving 13.5 + 0.05n = 22.5 + 0.25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.25n' to each side of the equation. 13.5 + 0.05n + -0.25n = 22.5 + 0.25n + -0.25n Combine like terms: 0.05n + -0.25n = -0.2n 13.5 + -0.2n = 22.5 + 0.25n + -0.25n Combine like terms: 0.25n + -0.25n = 0.00 13.5 + -0.2n = 22.5 + 0.00 13.5 + -0.2n = 22.5 Add '-13.5' to each side of the equation. 13.5 + -13.5 + -0.2n = 22.5 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + -0.2n = 22.5 + -13.5 -0.2n = 22.5 + -13.5 Combine like terms: 22.5 + -13.5 = 9 -0.2n = 9 Divide each side by '-0.2'. n = -45 Simplifying n = -45
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