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Simplifying -4(7 + -5n) = 16 + -2n (7 * -4 + -5n * -4) = 16 + -2n (-28 + 20n) = 16 + -2n Solving -28 + 20n = 16 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -28 + 20n + 2n = 16 + -2n + 2n Combine like terms: 20n + 2n = 22n -28 + 22n = 16 + -2n + 2n Combine like terms: -2n + 2n = 0 -28 + 22n = 16 + 0 -28 + 22n = 16 Add '28' to each side of the equation. -28 + 28 + 22n = 16 + 28 Combine like terms: -28 + 28 = 0 0 + 22n = 16 + 28 22n = 16 + 28 Combine like terms: 16 + 28 = 44 22n = 44 Divide each side by '22'. n = 2 Simplifying n = 2
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