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Simplifying 7v + -1(-3) + -1v = 10v + -1(-5) Multiply -1 * -3 7v + 3 + -1v = 10v + -1(-5) Reorder the terms: 3 + 7v + -1v = 10v + -1(-5) Combine like terms: 7v + -1v = 6v 3 + 6v = 10v + -1(-5) Multiply -1 * -5 3 + 6v = 10v + 5 Reorder the terms: 3 + 6v = 5 + 10v Solving 3 + 6v = 5 + 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. 3 + 6v + -10v = 5 + 10v + -10v Combine like terms: 6v + -10v = -4v 3 + -4v = 5 + 10v + -10v Combine like terms: 10v + -10v = 0 3 + -4v = 5 + 0 3 + -4v = 5 Add '-3' to each side of the equation. 3 + -3 + -4v = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -4v = 5 + -3 -4v = 5 + -3 Combine like terms: 5 + -3 = 2 -4v = 2 Divide each side by '-4'. v = -0.5 Simplifying v = -0.5
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