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Simplifying -82 = 5(n + -8) + -7 Reorder the terms: -82 = 5(-8 + n) + -7 -82 = (-8 * 5 + n * 5) + -7 -82 = (-40 + 5n) + -7 Reorder the terms: -82 = -40 + -7 + 5n Combine like terms: -40 + -7 = -47 -82 = -47 + 5n Solving -82 = -47 + 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. -82 + -5n = -47 + 5n + -5n Combine like terms: 5n + -5n = 0 -82 + -5n = -47 + 0 -82 + -5n = -47 Add '82' to each side of the equation. -82 + 82 + -5n = -47 + 82 Combine like terms: -82 + 82 = 0 0 + -5n = -47 + 82 -5n = -47 + 82 Combine like terms: -47 + 82 = 35 -5n = 35 Divide each side by '-5'. n = -7 Simplifying n = -7
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