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