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Simplifying 4n + 10 + n = 6n + -2 Reorder the terms: 10 + 4n + n = 6n + -2 Combine like terms: 4n + n = 5n 10 + 5n = 6n + -2 Reorder the terms: 10 + 5n = -2 + 6n Solving 10 + 5n = -2 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 10 + 5n + -6n = -2 + 6n + -6n Combine like terms: 5n + -6n = -1n 10 + -1n = -2 + 6n + -6n Combine like terms: 6n + -6n = 0 10 + -1n = -2 + 0 10 + -1n = -2 Add '-10' to each side of the equation. 10 + -10 + -1n = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = -2 + -10 -1n = -2 + -10 Combine like terms: -2 + -10 = -12 -1n = -12 Divide each side by '-1'. n = 12 Simplifying n = 12
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