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Simplifying 4(n + -6) + 4 = 6n + -8 Reorder the terms: 4(-6 + n) + 4 = 6n + -8 (-6 * 4 + n * 4) + 4 = 6n + -8 (-24 + 4n) + 4 = 6n + -8 Reorder the terms: -24 + 4 + 4n = 6n + -8 Combine like terms: -24 + 4 = -20 -20 + 4n = 6n + -8 Reorder the terms: -20 + 4n = -8 + 6n Solving -20 + 4n = -8 + 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. -20 + 4n + -6n = -8 + 6n + -6n Combine like terms: 4n + -6n = -2n -20 + -2n = -8 + 6n + -6n Combine like terms: 6n + -6n = 0 -20 + -2n = -8 + 0 -20 + -2n = -8 Add '20' to each side of the equation. -20 + 20 + -2n = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -2n = -8 + 20 -2n = -8 + 20 Combine like terms: -8 + 20 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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