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Simplifying -5(5v + -7) + -2 = 83 Reorder the terms: -5(-7 + 5v) + -2 = 83 (-7 * -5 + 5v * -5) + -2 = 83 (35 + -25v) + -2 = 83 Reorder the terms: 35 + -2 + -25v = 83 Combine like terms: 35 + -2 = 33 33 + -25v = 83 Solving 33 + -25v = 83 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -25v = 83 + -33 Combine like terms: 33 + -33 = 0 0 + -25v = 83 + -33 -25v = 83 + -33 Combine like terms: 83 + -33 = 50 -25v = 50 Divide each side by '-25'. v = -2 Simplifying v = -2
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