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Simplifying -5(3n + 2) + 3 = -82 Reorder the terms: -5(2 + 3n) + 3 = -82 (2 * -5 + 3n * -5) + 3 = -82 (-10 + -15n) + 3 = -82 Reorder the terms: -10 + 3 + -15n = -82 Combine like terms: -10 + 3 = -7 -7 + -15n = -82 Solving -7 + -15n = -82 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 + -15n = -82 + 7 Combine like terms: -7 + 7 = 0 0 + -15n = -82 + 7 -15n = -82 + 7 Combine like terms: -82 + 7 = -75 -15n = -75 Divide each side by '-15'. n = 5 Simplifying n = 5
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