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Simplifying 4n + -21 = 6 + 7n Reorder the terms: -21 + 4n = 6 + 7n Solving -21 + 4n = 6 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -21 + 4n + -7n = 6 + 7n + -7n Combine like terms: 4n + -7n = -3n -21 + -3n = 6 + 7n + -7n Combine like terms: 7n + -7n = 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 = 27 -3n = 27 Divide each side by '-3'. n = -9 Simplifying n = -9
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