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Simplifying 5v + -1(2) = v + -1(10) Multiply -1 * 2 5v + -2 = v + -1(10) Reorder the terms: -2 + 5v = v + -1(10) Multiply -1 * 10 -2 + 5v = v + -10 Reorder the terms: -2 + 5v = -10 + v Solving -2 + 5v = -10 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -2 + 5v + -1v = -10 + v + -1v Combine like terms: 5v + -1v = 4v -2 + 4v = -10 + v + -1v Combine like terms: v + -1v = 0 -2 + 4v = -10 + 0 -2 + 4v = -10 Add '2' to each side of the equation. -2 + 2 + 4v = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 4v = -10 + 2 4v = -10 + 2 Combine like terms: -10 + 2 = -8 4v = -8 Divide each side by '4'. v = -2 Simplifying v = -2
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