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Simplifying 6(2n + -8) + 3 = 15 Reorder the terms: 6(-8 + 2n) + 3 = 15 (-8 * 6 + 2n * 6) + 3 = 15 (-48 + 12n) + 3 = 15 Reorder the terms: -48 + 3 + 12n = 15 Combine like terms: -48 + 3 = -45 -45 + 12n = 15 Solving -45 + 12n = 15 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 12n = 15 + 45 Combine like terms: -45 + 45 = 0 0 + 12n = 15 + 45 12n = 15 + 45 Combine like terms: 15 + 45 = 60 12n = 60 Divide each side by '12'. n = 5 Simplifying n = 5
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