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Simplifying 10 + -1(12 + v) = v + 5 10 + (12 * -1 + v * -1) = v + 5 10 + (-12 + -1v) = v + 5 Combine like terms: 10 + -12 = -2 -2 + -1v = v + 5 Reorder the terms: -2 + -1v = 5 + v Solving -2 + -1v = 5 + 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 + -1v + -1v = 5 + v + -1v Combine like terms: -1v + -1v = -2v -2 + -2v = 5 + v + -1v Combine like terms: v + -1v = 0 -2 + -2v = 5 + 0 -2 + -2v = 5 Add '2' to each side of the equation. -2 + 2 + -2v = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -2v = 5 + 2 -2v = 5 + 2 Combine like terms: 5 + 2 = 7 -2v = 7 Divide each side by '-2'. v = -3.5 Simplifying v = -3.5
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