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Simplifying 2n + 6 = 7n + -19 Reorder the terms: 6 + 2n = 7n + -19 Reorder the terms: 6 + 2n = -19 + 7n Solving 6 + 2n = -19 + 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. 6 + 2n + -7n = -19 + 7n + -7n Combine like terms: 2n + -7n = -5n 6 + -5n = -19 + 7n + -7n Combine like terms: 7n + -7n = 0 6 + -5n = -19 + 0 6 + -5n = -19 Add '-6' to each side of the equation. 6 + -6 + -5n = -19 + -6 Combine like terms: 6 + -6 = 0 0 + -5n = -19 + -6 -5n = -19 + -6 Combine like terms: -19 + -6 = -25 -5n = -25 Divide each side by '-5'. n = 5 Simplifying n = 5
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