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Simplifying 13 + -7n = (6n + -5) Reorder the terms: 13 + -7n = (-5 + 6n) Remove parenthesis around (-5 + 6n) 13 + -7n = -5 + 6n Solving 13 + -7n = -5 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 13 + -7n + -6n = -5 + 6n + -6n Combine like terms: -7n + -6n = -13n 13 + -13n = -5 + 6n + -6n Combine like terms: 6n + -6n = 0 13 + -13n = -5 + 0 13 + -13n = -5 Add '-13' to each side of the equation. 13 + -13 + -13n = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -13n = -5 + -13 -13n = -5 + -13 Combine like terms: -5 + -13 = -18 -13n = -18 Divide each side by '-13'. n = 1.384615385 Simplifying n = 1.384615385
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