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Simplifying -7(7 + -4n) + -3(2n + -6) = -75 (7 * -7 + -4n * -7) + -3(2n + -6) = -75 (-49 + 28n) + -3(2n + -6) = -75 Reorder the terms: -49 + 28n + -3(-6 + 2n) = -75 -49 + 28n + (-6 * -3 + 2n * -3) = -75 -49 + 28n + (18 + -6n) = -75 Reorder the terms: -49 + 18 + 28n + -6n = -75 Combine like terms: -49 + 18 = -31 -31 + 28n + -6n = -75 Combine like terms: 28n + -6n = 22n -31 + 22n = -75 Solving -31 + 22n = -75 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 22n = -75 + 31 Combine like terms: -31 + 31 = 0 0 + 22n = -75 + 31 22n = -75 + 31 Combine like terms: -75 + 31 = -44 22n = -44 Divide each side by '22'. n = -2 Simplifying n = -2
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