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Simplifying 21 + 7n = -7(3n + -7) Reorder the terms: 21 + 7n = -7(-7 + 3n) 21 + 7n = (-7 * -7 + 3n * -7) 21 + 7n = (49 + -21n) Solving 21 + 7n = 49 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. 21 + 7n + 21n = 49 + -21n + 21n Combine like terms: 7n + 21n = 28n 21 + 28n = 49 + -21n + 21n Combine like terms: -21n + 21n = 0 21 + 28n = 49 + 0 21 + 28n = 49 Add '-21' to each side of the equation. 21 + -21 + 28n = 49 + -21 Combine like terms: 21 + -21 = 0 0 + 28n = 49 + -21 28n = 49 + -21 Combine like terms: 49 + -21 = 28 28n = 28 Divide each side by '28'. n = 1 Simplifying n = 1
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