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Simplifying 3n + 21 = -2(-7 + -1n) Reorder the terms: 21 + 3n = -2(-7 + -1n) 21 + 3n = (-7 * -2 + -1n * -2) 21 + 3n = (14 + 2n) Solving 21 + 3n = 14 + 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 + 3n + -2n = 14 + 2n + -2n Combine like terms: 3n + -2n = 1n 21 + 1n = 14 + 2n + -2n Combine like terms: 2n + -2n = 0 21 + 1n = 14 + 0 21 + 1n = 14 Add '-21' to each side of the equation. 21 + -21 + 1n = 14 + -21 Combine like terms: 21 + -21 = 0 0 + 1n = 14 + -21 1n = 14 + -21 Combine like terms: 14 + -21 = -7 1n = -7 Divide each side by '1'. n = -7 Simplifying n = -7
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