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Simplifying 4n + -4 + 2n = 10 + -1n Reorder the terms: -4 + 4n + 2n = 10 + -1n Combine like terms: 4n + 2n = 6n -4 + 6n = 10 + -1n Solving -4 + 6n = 10 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -4 + 6n + n = 10 + -1n + n Combine like terms: 6n + n = 7n -4 + 7n = 10 + -1n + n Combine like terms: -1n + n = 0 -4 + 7n = 10 + 0 -4 + 7n = 10 Add '4' to each side of the equation. -4 + 4 + 7n = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 7n = 10 + 4 7n = 10 + 4 Combine like terms: 10 + 4 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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