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Simplifying 2(v + -2) = 7v + 6 Reorder the terms: 2(-2 + v) = 7v + 6 (-2 * 2 + v * 2) = 7v + 6 (-4 + 2v) = 7v + 6 Reorder the terms: -4 + 2v = 6 + 7v Solving -4 + 2v = 6 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -4 + 2v + -7v = 6 + 7v + -7v Combine like terms: 2v + -7v = -5v -4 + -5v = 6 + 7v + -7v Combine like terms: 7v + -7v = 0 -4 + -5v = 6 + 0 -4 + -5v = 6 Add '4' to each side of the equation. -4 + 4 + -5v = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -5v = 6 + 4 -5v = 6 + 4 Combine like terms: 6 + 4 = 10 -5v = 10 Divide each side by '-5'. v = -2 Simplifying v = -2
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