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Simplifying 2(-2 + -5n) + -3n = -82 (-2 * 2 + -5n * 2) + -3n = -82 (-4 + -10n) + -3n = -82 Combine like terms: -10n + -3n = -13n -4 + -13n = -82 Solving -4 + -13n = -82 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -13n = -82 + 4 Combine like terms: -4 + 4 = 0 0 + -13n = -82 + 4 -13n = -82 + 4 Combine like terms: -82 + 4 = -78 -13n = -78 Divide each side by '-13'. n = 6 Simplifying n = 6
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