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Simplifying 5 + 2n + -1 = 5n + 10 + -2n Reorder the terms: 5 + -1 + 2n = 5n + 10 + -2n Combine like terms: 5 + -1 = 4 4 + 2n = 5n + 10 + -2n Reorder the terms: 4 + 2n = 10 + 5n + -2n Combine like terms: 5n + -2n = 3n 4 + 2n = 10 + 3n Solving 4 + 2n = 10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 4 + 2n + -3n = 10 + 3n + -3n Combine like terms: 2n + -3n = -1n 4 + -1n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + -1n = 10 + 0 4 + -1n = 10 Add '-4' to each side of the equation. 4 + -4 + -1n = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 10 + -4 -1n = 10 + -4 Combine like terms: 10 + -4 = 6 -1n = 6 Divide each side by '-1'. n = -6 Simplifying n = -6
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