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Simplifying 21 + n = -1(1 + -4n) + 7 21 + n = (1 * -1 + -4n * -1) + 7 21 + n = (-1 + 4n) + 7 Reorder the terms: 21 + n = -1 + 7 + 4n Combine like terms: -1 + 7 = 6 21 + n = 6 + 4n Solving 21 + n = 6 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 21 + n + -4n = 6 + 4n + -4n Combine like terms: n + -4n = -3n 21 + -3n = 6 + 4n + -4n Combine like terms: 4n + -4n = 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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