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Simplifying 6.75(57n + 94) = 6.75(-3n + -98) Reorder the terms: 6.75(94 + 57n) = 6.75(-3n + -98) (94 * 6.75 + 57n * 6.75) = 6.75(-3n + -98) (634.5 + 384.75n) = 6.75(-3n + -98) Reorder the terms: 634.5 + 384.75n = 6.75(-98 + -3n) 634.5 + 384.75n = (-98 * 6.75 + -3n * 6.75) 634.5 + 384.75n = (-661.5 + -20.25n) Solving 634.5 + 384.75n = -661.5 + -20.25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20.25n' to each side of the equation. 634.5 + 384.75n + 20.25n = -661.5 + -20.25n + 20.25n Combine like terms: 384.75n + 20.25n = 405n 634.5 + 405n = -661.5 + -20.25n + 20.25n Combine like terms: -20.25n + 20.25n = 0.00 634.5 + 405n = -661.5 + 0.00 634.5 + 405n = -661.5 Add '-634.5' to each side of the equation. 634.5 + -634.5 + 405n = -661.5 + -634.5 Combine like terms: 634.5 + -634.5 = 0.0 0.0 + 405n = -661.5 + -634.5 405n = -661.5 + -634.5 Combine like terms: -661.5 + -634.5 = -1296 405n = -1296 Divide each side by '405'. n = -3.2 Simplifying n = -3.2
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