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Simplifying 4n + -2 = -5n + 5 + -4n + 6 Reorder the terms: -2 + 4n = -5n + 5 + -4n + 6 Reorder the terms: -2 + 4n = 5 + 6 + -5n + -4n Combine like terms: 5 + 6 = 11 -2 + 4n = 11 + -5n + -4n Combine like terms: -5n + -4n = -9n -2 + 4n = 11 + -9n Solving -2 + 4n = 11 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -2 + 4n + 9n = 11 + -9n + 9n Combine like terms: 4n + 9n = 13n -2 + 13n = 11 + -9n + 9n Combine like terms: -9n + 9n = 0 -2 + 13n = 11 + 0 -2 + 13n = 11 Add '2' to each side of the equation. -2 + 2 + 13n = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 13n = 11 + 2 13n = 11 + 2 Combine like terms: 11 + 2 = 13 13n = 13 Divide each side by '13'. n = 1 Simplifying n = 1
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