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Simplifying 4n + 2 = 5n + -6 Reorder the terms: 2 + 4n = 5n + -6 Reorder the terms: 2 + 4n = -6 + 5n Solving 2 + 4n = -6 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 2 + 4n + -5n = -6 + 5n + -5n Combine like terms: 4n + -5n = -1n 2 + -1n = -6 + 5n + -5n Combine like terms: 5n + -5n = 0 2 + -1n = -6 + 0 2 + -1n = -6 Add '-2' to each side of the equation. 2 + -2 + -1n = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = -6 + -2 -1n = -6 + -2 Combine like terms: -6 + -2 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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