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Simplifying 2n + 1 = 2n + -1(7n + 3) + -10 Reorder the terms: 1 + 2n = 2n + -1(7n + 3) + -10 Reorder the terms: 1 + 2n = 2n + -1(3 + 7n) + -10 1 + 2n = 2n + (3 * -1 + 7n * -1) + -10 1 + 2n = 2n + (-3 + -7n) + -10 Reorder the terms: 1 + 2n = -3 + -10 + 2n + -7n Combine like terms: -3 + -10 = -13 1 + 2n = -13 + 2n + -7n Combine like terms: 2n + -7n = -5n 1 + 2n = -13 + -5n Solving 1 + 2n = -13 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 1 + 2n + 5n = -13 + -5n + 5n Combine like terms: 2n + 5n = 7n 1 + 7n = -13 + -5n + 5n Combine like terms: -5n + 5n = 0 1 + 7n = -13 + 0 1 + 7n = -13 Add '-1' to each side of the equation. 1 + -1 + 7n = -13 + -1 Combine like terms: 1 + -1 = 0 0 + 7n = -13 + -1 7n = -13 + -1 Combine like terms: -13 + -1 = -14 7n = -14 Divide each side by '7'. n = -2 Simplifying n = -2
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