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Simplifying -2(3n + 7) + -1(8 + -6n) = 5n + -3 Reorder the terms: -2(7 + 3n) + -1(8 + -6n) = 5n + -3 (7 * -2 + 3n * -2) + -1(8 + -6n) = 5n + -3 (-14 + -6n) + -1(8 + -6n) = 5n + -3 -14 + -6n + (8 * -1 + -6n * -1) = 5n + -3 -14 + -6n + (-8 + 6n) = 5n + -3 Reorder the terms: -14 + -8 + -6n + 6n = 5n + -3 Combine like terms: -14 + -8 = -22 -22 + -6n + 6n = 5n + -3 Combine like terms: -6n + 6n = 0 -22 + 0 = 5n + -3 -22 = 5n + -3 Reorder the terms: -22 = -3 + 5n Solving -22 = -3 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -22 + -5n = -3 + 5n + -5n Combine like terms: 5n + -5n = 0 -22 + -5n = -3 + 0 -22 + -5n = -3 Add '22' to each side of the equation. -22 + 22 + -5n = -3 + 22 Combine like terms: -22 + 22 = 0 0 + -5n = -3 + 22 -5n = -3 + 22 Combine like terms: -3 + 22 = 19 -5n = 19 Divide each side by '-5'. n = -3.8 Simplifying n = -3.8
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