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Simplifying 45n + 4 = 61n + 2 Reorder the terms: 4 + 45n = 61n + 2 Reorder the terms: 4 + 45n = 2 + 61n Solving 4 + 45n = 2 + 61n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-61n' to each side of the equation. 4 + 45n + -61n = 2 + 61n + -61n Combine like terms: 45n + -61n = -16n 4 + -16n = 2 + 61n + -61n Combine like terms: 61n + -61n = 0 4 + -16n = 2 + 0 4 + -16n = 2 Add '-4' to each side of the equation. 4 + -4 + -16n = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -16n = 2 + -4 -16n = 2 + -4 Combine like terms: 2 + -4 = -2 -16n = -2 Divide each side by '-16'. n = 0.125 Simplifying n = 0.125
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