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Simplifying -10 + -1v = -2 + 2(v + 5) Reorder the terms: -10 + -1v = -2 + 2(5 + v) -10 + -1v = -2 + (5 * 2 + v * 2) -10 + -1v = -2 + (10 + 2v) Combine like terms: -2 + 10 = 8 -10 + -1v = 8 + 2v Solving -10 + -1v = 8 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -10 + -1v + -2v = 8 + 2v + -2v Combine like terms: -1v + -2v = -3v -10 + -3v = 8 + 2v + -2v Combine like terms: 2v + -2v = 0 -10 + -3v = 8 + 0 -10 + -3v = 8 Add '10' to each side of the equation. -10 + 10 + -3v = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -3v = 8 + 10 -3v = 8 + 10 Combine like terms: 8 + 10 = 18 -3v = 18 Divide each side by '-3'. v = -6 Simplifying v = -6
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