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Simplifying 21 = 5n + -2(n + -3) Reorder the terms: 21 = 5n + -2(-3 + n) 21 = 5n + (-3 * -2 + n * -2) 21 = 5n + (6 + -2n) Reorder the terms: 21 = 6 + 5n + -2n Combine like terms: 5n + -2n = 3n 21 = 6 + 3n Solving 21 = 6 + 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. 21 + -3n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 21 + -3n = 6 + 0 21 + -3n = 6 Add '-21' to each side of the equation. 21 + -21 + -3n = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -3n = 6 + -21 -3n = 6 + -21 Combine like terms: 6 + -21 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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