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Simplifying 83 = -5(-2v + -7) + 8 Reorder the terms: 83 = -5(-7 + -2v) + 8 83 = (-7 * -5 + -2v * -5) + 8 83 = (35 + 10v) + 8 Reorder the terms: 83 = 35 + 8 + 10v Combine like terms: 35 + 8 = 43 83 = 43 + 10v Solving 83 = 43 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 83 + -10v = 43 + 10v + -10v Combine like terms: 10v + -10v = 0 83 + -10v = 43 + 0 83 + -10v = 43 Add '-83' to each side of the equation. 83 + -83 + -10v = 43 + -83 Combine like terms: 83 + -83 = 0 0 + -10v = 43 + -83 -10v = 43 + -83 Combine like terms: 43 + -83 = -40 -10v = -40 Divide each side by '-10'. v = 4 Simplifying v = 4
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