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Simplifying 42 + -6v = 10v + 45 Reorder the terms: 42 + -6v = 45 + 10v Solving 42 + -6v = 45 + 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. 42 + -6v + -10v = 45 + 10v + -10v Combine like terms: -6v + -10v = -16v 42 + -16v = 45 + 10v + -10v Combine like terms: 10v + -10v = 0 42 + -16v = 45 + 0 42 + -16v = 45 Add '-42' to each side of the equation. 42 + -42 + -16v = 45 + -42 Combine like terms: 42 + -42 = 0 0 + -16v = 45 + -42 -16v = 45 + -42 Combine like terms: 45 + -42 = 3 -16v = 3 Divide each side by '-16'. v = -0.1875 Simplifying v = -0.1875
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