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Simplifying 0.2n + 13 = 1.3n + -14.5 Reorder the terms: 13 + 0.2n = 1.3n + -14.5 Reorder the terms: 13 + 0.2n = -14.5 + 1.3n Solving 13 + 0.2n = -14.5 + 1.3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.3n' to each side of the equation. 13 + 0.2n + -1.3n = -14.5 + 1.3n + -1.3n Combine like terms: 0.2n + -1.3n = -1.1n 13 + -1.1n = -14.5 + 1.3n + -1.3n Combine like terms: 1.3n + -1.3n = 0.0 13 + -1.1n = -14.5 + 0.0 13 + -1.1n = -14.5 Add '-13' to each side of the equation. 13 + -13 + -1.1n = -14.5 + -13 Combine like terms: 13 + -13 = 0 0 + -1.1n = -14.5 + -13 -1.1n = -14.5 + -13 Combine like terms: -14.5 + -13 = -27.5 -1.1n = -27.5 Divide each side by '-1.1'. n = 25 Simplifying n = 25
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