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Simplifying 2 + -12(5v + 7) = 11(1 + 3v) Reorder the terms: 2 + -12(7 + 5v) = 11(1 + 3v) 2 + (7 * -12 + 5v * -12) = 11(1 + 3v) 2 + (-84 + -60v) = 11(1 + 3v) Combine like terms: 2 + -84 = -82 -82 + -60v = 11(1 + 3v) -82 + -60v = (1 * 11 + 3v * 11) -82 + -60v = (11 + 33v) Solving -82 + -60v = 11 + 33v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-33v' to each side of the equation. -82 + -60v + -33v = 11 + 33v + -33v Combine like terms: -60v + -33v = -93v -82 + -93v = 11 + 33v + -33v Combine like terms: 33v + -33v = 0 -82 + -93v = 11 + 0 -82 + -93v = 11 Add '82' to each side of the equation. -82 + 82 + -93v = 11 + 82 Combine like terms: -82 + 82 = 0 0 + -93v = 11 + 82 -93v = 11 + 82 Combine like terms: 11 + 82 = 93 -93v = 93 Divide each side by '-93'. v = -1 Simplifying v = -1
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