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Simplifying -23 + -2n = 3(n + 2) + 1 Reorder the terms: -23 + -2n = 3(2 + n) + 1 -23 + -2n = (2 * 3 + n * 3) + 1 -23 + -2n = (6 + 3n) + 1 Reorder the terms: -23 + -2n = 6 + 1 + 3n Combine like terms: 6 + 1 = 7 -23 + -2n = 7 + 3n Solving -23 + -2n = 7 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -23 + -2n + -3n = 7 + 3n + -3n Combine like terms: -2n + -3n = -5n -23 + -5n = 7 + 3n + -3n Combine like terms: 3n + -3n = 0 -23 + -5n = 7 + 0 -23 + -5n = 7 Add '23' to each side of the equation. -23 + 23 + -5n = 7 + 23 Combine like terms: -23 + 23 = 0 0 + -5n = 7 + 23 -5n = 7 + 23 Combine like terms: 7 + 23 = 30 -5n = 30 Divide each side by '-5'. n = -6 Simplifying n = -6
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