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Simplifying 2n + 42 = 5n + -21 Reorder the terms: 42 + 2n = 5n + -21 Reorder the terms: 42 + 2n = -21 + 5n Solving 42 + 2n = -21 + 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. 42 + 2n + -5n = -21 + 5n + -5n Combine like terms: 2n + -5n = -3n 42 + -3n = -21 + 5n + -5n Combine like terms: 5n + -5n = 0 42 + -3n = -21 + 0 42 + -3n = -21 Add '-42' to each side of the equation. 42 + -42 + -3n = -21 + -42 Combine like terms: 42 + -42 = 0 0 + -3n = -21 + -42 -3n = -21 + -42 Combine like terms: -21 + -42 = -63 -3n = -63 Divide each side by '-3'. n = 21 Simplifying n = 21
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