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Simplifying 2n + 26 = -2 + -7(n + 5) Reorder the terms: 26 + 2n = -2 + -7(n + 5) Reorder the terms: 26 + 2n = -2 + -7(5 + n) 26 + 2n = -2 + (5 * -7 + n * -7) 26 + 2n = -2 + (-35 + -7n) Combine like terms: -2 + -35 = -37 26 + 2n = -37 + -7n Solving 26 + 2n = -37 + -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. 26 + 2n + 7n = -37 + -7n + 7n Combine like terms: 2n + 7n = 9n 26 + 9n = -37 + -7n + 7n Combine like terms: -7n + 7n = 0 26 + 9n = -37 + 0 26 + 9n = -37 Add '-26' to each side of the equation. 26 + -26 + 9n = -37 + -26 Combine like terms: 26 + -26 = 0 0 + 9n = -37 + -26 9n = -37 + -26 Combine like terms: -37 + -26 = -63 9n = -63 Divide each side by '9'. n = -7 Simplifying n = -7
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