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Simplifying 4n + 38 = -6(n + -8) Reorder the terms: 38 + 4n = -6(n + -8) Reorder the terms: 38 + 4n = -6(-8 + n) 38 + 4n = (-8 * -6 + n * -6) 38 + 4n = (48 + -6n) Solving 38 + 4n = 48 + -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. 38 + 4n + 6n = 48 + -6n + 6n Combine like terms: 4n + 6n = 10n 38 + 10n = 48 + -6n + 6n Combine like terms: -6n + 6n = 0 38 + 10n = 48 + 0 38 + 10n = 48 Add '-38' to each side of the equation. 38 + -38 + 10n = 48 + -38 Combine like terms: 38 + -38 = 0 0 + 10n = 48 + -38 10n = 48 + -38 Combine like terms: 48 + -38 = 10 10n = 10 Divide each side by '10'. n = 1 Simplifying n = 1
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