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Simplifying 2(5n + -8) = -6(n + -8) Reorder the terms: 2(-8 + 5n) = -6(n + -8) (-8 * 2 + 5n * 2) = -6(n + -8) (-16 + 10n) = -6(n + -8) Reorder the terms: -16 + 10n = -6(-8 + n) -16 + 10n = (-8 * -6 + n * -6) -16 + 10n = (48 + -6n) Solving -16 + 10n = 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. -16 + 10n + 6n = 48 + -6n + 6n Combine like terms: 10n + 6n = 16n -16 + 16n = 48 + -6n + 6n Combine like terms: -6n + 6n = 0 -16 + 16n = 48 + 0 -16 + 16n = 48 Add '16' to each side of the equation. -16 + 16 + 16n = 48 + 16 Combine like terms: -16 + 16 = 0 0 + 16n = 48 + 16 16n = 48 + 16 Combine like terms: 48 + 16 = 64 16n = 64 Divide each side by '16'. n = 4 Simplifying n = 4
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