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Simplifying 4n + -21 = -61 + 9n Reorder the terms: -21 + 4n = -61 + 9n Solving -21 + 4n = -61 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -21 + 4n + -9n = -61 + 9n + -9n Combine like terms: 4n + -9n = -5n -21 + -5n = -61 + 9n + -9n Combine like terms: 9n + -9n = 0 -21 + -5n = -61 + 0 -21 + -5n = -61 Add '21' to each side of the equation. -21 + 21 + -5n = -61 + 21 Combine like terms: -21 + 21 = 0 0 + -5n = -61 + 21 -5n = -61 + 21 Combine like terms: -61 + 21 = -40 -5n = -40 Divide each side by '-5'. n = 8 Simplifying n = 8
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