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Simplifying 4n + -6 = 6(n + 2) + 8 Reorder the terms: -6 + 4n = 6(n + 2) + 8 Reorder the terms: -6 + 4n = 6(2 + n) + 8 -6 + 4n = (2 * 6 + n * 6) + 8 -6 + 4n = (12 + 6n) + 8 Reorder the terms: -6 + 4n = 12 + 8 + 6n Combine like terms: 12 + 8 = 20 -6 + 4n = 20 + 6n Solving -6 + 4n = 20 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -6 + 4n + -6n = 20 + 6n + -6n Combine like terms: 4n + -6n = -2n -6 + -2n = 20 + 6n + -6n Combine like terms: 6n + -6n = 0 -6 + -2n = 20 + 0 -6 + -2n = 20 Add '6' to each side of the equation. -6 + 6 + -2n = 20 + 6 Combine like terms: -6 + 6 = 0 0 + -2n = 20 + 6 -2n = 20 + 6 Combine like terms: 20 + 6 = 26 -2n = 26 Divide each side by '-2'. n = -13 Simplifying n = -13
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