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Simplifying 5n + -21 = -42 + 2n Reorder the terms: -21 + 5n = -42 + 2n Solving -21 + 5n = -42 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -21 + 5n + -2n = -42 + 2n + -2n Combine like terms: 5n + -2n = 3n -21 + 3n = -42 + 2n + -2n Combine like terms: 2n + -2n = 0 -21 + 3n = -42 + 0 -21 + 3n = -42 Add '21' to each side of the equation. -21 + 21 + 3n = -42 + 21 Combine like terms: -21 + 21 = 0 0 + 3n = -42 + 21 3n = -42 + 21 Combine like terms: -42 + 21 = -21 3n = -21 Divide each side by '3'. n = -7 Simplifying n = -7
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