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Simplifying 4n + -10 = 2n + 6 Reorder the terms: -10 + 4n = 2n + 6 Reorder the terms: -10 + 4n = 6 + 2n Solving -10 + 4n = 6 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -10 + 4n + -2n = 6 + 2n + -2n Combine like terms: 4n + -2n = 2n -10 + 2n = 6 + 2n + -2n Combine like terms: 2n + -2n = 0 -10 + 2n = 6 + 0 -10 + 2n = 6 Add '10' to each side of the equation. -10 + 10 + 2n = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 2n = 6 + 10 2n = 6 + 10 Combine like terms: 6 + 10 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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