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Simplifying 5 + 4n + -6 = -6 + 5n Reorder the terms: 5 + -6 + 4n = -6 + 5n Combine like terms: 5 + -6 = -1 -1 + 4n = -6 + 5n Solving -1 + 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. -1 + 4n + -5n = -6 + 5n + -5n Combine like terms: 4n + -5n = -1n -1 + -1n = -6 + 5n + -5n Combine like terms: 5n + -5n = 0 -1 + -1n = -6 + 0 -1 + -1n = -6 Add '1' to each side of the equation. -1 + 1 + -1n = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -1n = -6 + 1 -1n = -6 + 1 Combine like terms: -6 + 1 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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