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Simplifying 7n + 12 = 13n + -6 Reorder the terms: 12 + 7n = 13n + -6 Reorder the terms: 12 + 7n = -6 + 13n Solving 12 + 7n = -6 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. 12 + 7n + -13n = -6 + 13n + -13n Combine like terms: 7n + -13n = -6n 12 + -6n = -6 + 13n + -13n Combine like terms: 13n + -13n = 0 12 + -6n = -6 + 0 12 + -6n = -6 Add '-12' to each side of the equation. 12 + -12 + -6n = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -6n = -6 + -12 -6n = -6 + -12 Combine like terms: -6 + -12 = -18 -6n = -18 Divide each side by '-6'. n = 3 Simplifying n = 3
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