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Simplifying 6n + 7 = 2n + -14 + 5n + 1 Reorder the terms: 7 + 6n = 2n + -14 + 5n + 1 Reorder the terms: 7 + 6n = -14 + 1 + 2n + 5n Combine like terms: -14 + 1 = -13 7 + 6n = -13 + 2n + 5n Combine like terms: 2n + 5n = 7n 7 + 6n = -13 + 7n Solving 7 + 6n = -13 + 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. 7 + 6n + -7n = -13 + 7n + -7n Combine like terms: 6n + -7n = -1n 7 + -1n = -13 + 7n + -7n Combine like terms: 7n + -7n = 0 7 + -1n = -13 + 0 7 + -1n = -13 Add '-7' to each side of the equation. 7 + -7 + -1n = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = -13 + -7 -1n = -13 + -7 Combine like terms: -13 + -7 = -20 -1n = -20 Divide each side by '-1'. n = 20 Simplifying n = 20
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