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Simplifying -7.8 + 19.44 = -10v + -19.94 Combine like terms: -7.8 + 19.44 = 11.64 11.64 = -10v + -19.94 Reorder the terms: 11.64 = -19.94 + -10v Solving 11.64 = -19.94 + -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. 11.64 + 10v = -19.94 + -10v + 10v Combine like terms: -10v + 10v = 0 11.64 + 10v = -19.94 + 0 11.64 + 10v = -19.94 Add '-11.64' to each side of the equation. 11.64 + -11.64 + 10v = -19.94 + -11.64 Combine like terms: 11.64 + -11.64 = 0.00 0.00 + 10v = -19.94 + -11.64 10v = -19.94 + -11.64 Combine like terms: -19.94 + -11.64 = -31.58 10v = -31.58 Divide each side by '10'. v = -3.158 Simplifying v = -3.158
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