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Simplifying -3(5 + -7n) + -5(1 + n) = 28 (5 * -3 + -7n * -3) + -5(1 + n) = 28 (-15 + 21n) + -5(1 + n) = 28 -15 + 21n + (1 * -5 + n * -5) = 28 -15 + 21n + (-5 + -5n) = 28 Reorder the terms: -15 + -5 + 21n + -5n = 28 Combine like terms: -15 + -5 = -20 -20 + 21n + -5n = 28 Combine like terms: 21n + -5n = 16n -20 + 16n = 28 Solving -20 + 16n = 28 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 16n = 28 + 20 Combine like terms: -20 + 20 = 0 0 + 16n = 28 + 20 16n = 28 + 20 Combine like terms: 28 + 20 = 48 16n = 48 Divide each side by '16'. n = 3 Simplifying n = 3
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