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Simplifying 11700 = (150v + -1200) + (1440v + 180) Reorder the terms: 11700 = (-1200 + 150v) + (1440v + 180) Remove parenthesis around (-1200 + 150v) 11700 = -1200 + 150v + (1440v + 180) Reorder the terms: 11700 = -1200 + 150v + (180 + 1440v) Remove parenthesis around (180 + 1440v) 11700 = -1200 + 150v + 180 + 1440v Reorder the terms: 11700 = -1200 + 180 + 150v + 1440v Combine like terms: -1200 + 180 = -1020 11700 = -1020 + 150v + 1440v Combine like terms: 150v + 1440v = 1590v 11700 = -1020 + 1590v Solving 11700 = -1020 + 1590v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1590v' to each side of the equation. 11700 + -1590v = -1020 + 1590v + -1590v Combine like terms: 1590v + -1590v = 0 11700 + -1590v = -1020 + 0 11700 + -1590v = -1020 Add '-11700' to each side of the equation. 11700 + -11700 + -1590v = -1020 + -11700 Combine like terms: 11700 + -11700 = 0 0 + -1590v = -1020 + -11700 -1590v = -1020 + -11700 Combine like terms: -1020 + -11700 = -12720 -1590v = -12720 Divide each side by '-1590'. v = 8 Simplifying v = 8
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