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Simplifying 42n + -13 = 7n + 12 Reorder the terms: -13 + 42n = 7n + 12 Reorder the terms: -13 + 42n = 12 + 7n Solving -13 + 42n = 12 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -13 + 42n + -7n = 12 + 7n + -7n Combine like terms: 42n + -7n = 35n -13 + 35n = 12 + 7n + -7n Combine like terms: 7n + -7n = 0 -13 + 35n = 12 + 0 -13 + 35n = 12 Add '13' to each side of the equation. -13 + 13 + 35n = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 35n = 12 + 13 35n = 12 + 13 Combine like terms: 12 + 13 = 25 35n = 25 Divide each side by '35'. n = 0.7142857143 Simplifying n = 0.7142857143
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