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Simplifying 4(n + -2) + 6 = 5n Reorder the terms: 4(-2 + n) + 6 = 5n (-2 * 4 + n * 4) + 6 = 5n (-8 + 4n) + 6 = 5n Reorder the terms: -8 + 6 + 4n = 5n Combine like terms: -8 + 6 = -2 -2 + 4n = 5n Solving -2 + 4n = 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 = 5n + -5n Combine like terms: 4n + -5n = -1n -2 + -1n = 5n + -5n Combine like terms: 5n + -5n = 0 -2 + -1n = 0 Add '2' to each side of the equation. -2 + 2 + -1n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = 0 + 2 -1n = 0 + 2 Combine like terms: 0 + 2 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2
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