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Simplifying 5 + -7n = -8 + 6n Solving 5 + -7n = -8 + 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. 5 + -7n + -6n = -8 + 6n + -6n Combine like terms: -7n + -6n = -13n 5 + -13n = -8 + 6n + -6n Combine like terms: 6n + -6n = 0 5 + -13n = -8 + 0 5 + -13n = -8 Add '-5' to each side of the equation. 5 + -5 + -13n = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -13n = -8 + -5 -13n = -8 + -5 Combine like terms: -8 + -5 = -13 -13n = -13 Divide each side by '-13'. n = 1 Simplifying n = 1
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