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Simplifying 190 = 5(3v + -7) + 10v Reorder the terms: 190 = 5(-7 + 3v) + 10v 190 = (-7 * 5 + 3v * 5) + 10v 190 = (-35 + 15v) + 10v Combine like terms: 15v + 10v = 25v 190 = -35 + 25v Solving 190 = -35 + 25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25v' to each side of the equation. 190 + -25v = -35 + 25v + -25v Combine like terms: 25v + -25v = 0 190 + -25v = -35 + 0 190 + -25v = -35 Add '-190' to each side of the equation. 190 + -190 + -25v = -35 + -190 Combine like terms: 190 + -190 = 0 0 + -25v = -35 + -190 -25v = -35 + -190 Combine like terms: -35 + -190 = -225 -25v = -225 Divide each side by '-25'. v = 9 Simplifying v = 9
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