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Simplifying 9(5v + -11) = 4(5v + 19) Reorder the terms: 9(-11 + 5v) = 4(5v + 19) (-11 * 9 + 5v * 9) = 4(5v + 19) (-99 + 45v) = 4(5v + 19) Reorder the terms: -99 + 45v = 4(19 + 5v) -99 + 45v = (19 * 4 + 5v * 4) -99 + 45v = (76 + 20v) Solving -99 + 45v = 76 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -99 + 45v + -20v = 76 + 20v + -20v Combine like terms: 45v + -20v = 25v -99 + 25v = 76 + 20v + -20v Combine like terms: 20v + -20v = 0 -99 + 25v = 76 + 0 -99 + 25v = 76 Add '99' to each side of the equation. -99 + 99 + 25v = 76 + 99 Combine like terms: -99 + 99 = 0 0 + 25v = 76 + 99 25v = 76 + 99 Combine like terms: 76 + 99 = 175 25v = 175 Divide each side by '25'. v = 7 Simplifying v = 7
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