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Simplifying 6n + -4 = 13n + -74 Reorder the terms: -4 + 6n = 13n + -74 Reorder the terms: -4 + 6n = -74 + 13n Solving -4 + 6n = -74 + 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. -4 + 6n + -13n = -74 + 13n + -13n Combine like terms: 6n + -13n = -7n -4 + -7n = -74 + 13n + -13n Combine like terms: 13n + -13n = 0 -4 + -7n = -74 + 0 -4 + -7n = -74 Add '4' to each side of the equation. -4 + 4 + -7n = -74 + 4 Combine like terms: -4 + 4 = 0 0 + -7n = -74 + 4 -7n = -74 + 4 Combine like terms: -74 + 4 = -70 -7n = -70 Divide each side by '-7'. n = 10 Simplifying n = 10
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