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Simplifying 6n + 10 + -2n = 5n + 1 Reorder the terms: 10 + 6n + -2n = 5n + 1 Combine like terms: 6n + -2n = 4n 10 + 4n = 5n + 1 Reorder the terms: 10 + 4n = 1 + 5n Solving 10 + 4n = 1 + 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 + 4n + -5n = 1 + 5n + -5n Combine like terms: 4n + -5n = -1n 10 + -1n = 1 + 5n + -5n Combine like terms: 5n + -5n = 0 10 + -1n = 1 + 0 10 + -1n = 1 Add '-10' to each side of the equation. 10 + -10 + -1n = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = 1 + -10 -1n = 1 + -10 Combine like terms: 1 + -10 = -9 -1n = -9 Divide each side by '-1'. n = 9 Simplifying n = 9
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