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Simplifying -82 = -2n + -5(6 + -3n) -82 = -2n + (6 * -5 + -3n * -5) -82 = -2n + (-30 + 15n) Reorder the terms: -82 = -30 + -2n + 15n Combine like terms: -2n + 15n = 13n -82 = -30 + 13n Solving -82 = -30 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. -82 + -13n = -30 + 13n + -13n Combine like terms: 13n + -13n = 0 -82 + -13n = -30 + 0 -82 + -13n = -30 Add '82' to each side of the equation. -82 + 82 + -13n = -30 + 82 Combine like terms: -82 + 82 = 0 0 + -13n = -30 + 82 -13n = -30 + 82 Combine like terms: -30 + 82 = 52 -13n = 52 Divide each side by '-13'. n = -4 Simplifying n = -4
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