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Simplifying 98 = 0.14n + 0.34(n + -100) Reorder the terms: 98 = 0.14n + 0.34(-100 + n) 98 = 0.14n + (-100 * 0.34 + n * 0.34) 98 = 0.14n + (-34 + 0.34n) Reorder the terms: 98 = -34 + 0.14n + 0.34n Combine like terms: 0.14n + 0.34n = 0.48n 98 = -34 + 0.48n Solving 98 = -34 + 0.48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.48n' to each side of the equation. 98 + -0.48n = -34 + 0.48n + -0.48n Combine like terms: 0.48n + -0.48n = 0.00 98 + -0.48n = -34 + 0.00 98 + -0.48n = -34 Add '-98' to each side of the equation. 98 + -98 + -0.48n = -34 + -98 Combine like terms: 98 + -98 = 0 0 + -0.48n = -34 + -98 -0.48n = -34 + -98 Combine like terms: -34 + -98 = -132 -0.48n = -132 Divide each side by '-0.48'. n = 275 Simplifying n = 275
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