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Simplifying 15n + 5 = 40n + -45 Reorder the terms: 5 + 15n = 40n + -45 Reorder the terms: 5 + 15n = -45 + 40n Solving 5 + 15n = -45 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 5 + 15n + -40n = -45 + 40n + -40n Combine like terms: 15n + -40n = -25n 5 + -25n = -45 + 40n + -40n Combine like terms: 40n + -40n = 0 5 + -25n = -45 + 0 5 + -25n = -45 Add '-5' to each side of the equation. 5 + -5 + -25n = -45 + -5 Combine like terms: 5 + -5 = 0 0 + -25n = -45 + -5 -25n = -45 + -5 Combine like terms: -45 + -5 = -50 -25n = -50 Divide each side by '-25'. n = 2 Simplifying n = 2
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