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Simplifying -2(3n + -5) + -1(3 + -4n) = -3 Reorder the terms: -2(-5 + 3n) + -1(3 + -4n) = -3 (-5 * -2 + 3n * -2) + -1(3 + -4n) = -3 (10 + -6n) + -1(3 + -4n) = -3 10 + -6n + (3 * -1 + -4n * -1) = -3 10 + -6n + (-3 + 4n) = -3 Reorder the terms: 10 + -3 + -6n + 4n = -3 Combine like terms: 10 + -3 = 7 7 + -6n + 4n = -3 Combine like terms: -6n + 4n = -2n 7 + -2n = -3 Solving 7 + -2n = -3 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2n = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = -3 + -7 -2n = -3 + -7 Combine like terms: -3 + -7 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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