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Simplifying 2n + -10 = 5n + -21 Reorder the terms: -10 + 2n = 5n + -21 Reorder the terms: -10 + 2n = -21 + 5n Solving -10 + 2n = -21 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -10 + 2n + -5n = -21 + 5n + -5n Combine like terms: 2n + -5n = -3n -10 + -3n = -21 + 5n + -5n Combine like terms: 5n + -5n = 0 -10 + -3n = -21 + 0 -10 + -3n = -21 Add '10' to each side of the equation. -10 + 10 + -3n = -21 + 10 Combine like terms: -10 + 10 = 0 0 + -3n = -21 + 10 -3n = -21 + 10 Combine like terms: -21 + 10 = -11 -3n = -11 Divide each side by '-3'. n = 3.666666667 Simplifying n = 3.666666667
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