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Simplifying -39 + 4n = -6(n + -8) + -7 Reorder the terms: -39 + 4n = -6(-8 + n) + -7 -39 + 4n = (-8 * -6 + n * -6) + -7 -39 + 4n = (48 + -6n) + -7 Reorder the terms: -39 + 4n = 48 + -7 + -6n Combine like terms: 48 + -7 = 41 -39 + 4n = 41 + -6n Solving -39 + 4n = 41 + -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. -39 + 4n + 6n = 41 + -6n + 6n Combine like terms: 4n + 6n = 10n -39 + 10n = 41 + -6n + 6n Combine like terms: -6n + 6n = 0 -39 + 10n = 41 + 0 -39 + 10n = 41 Add '39' to each side of the equation. -39 + 39 + 10n = 41 + 39 Combine like terms: -39 + 39 = 0 0 + 10n = 41 + 39 10n = 41 + 39 Combine like terms: 41 + 39 = 80 10n = 80 Divide each side by '10'. n = 8 Simplifying n = 8
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