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Simplifying 2(7v + -4) = -38 + -1v Reorder the terms: 2(-4 + 7v) = -38 + -1v (-4 * 2 + 7v * 2) = -38 + -1v (-8 + 14v) = -38 + -1v Solving -8 + 14v = -38 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -8 + 14v + v = -38 + -1v + v Combine like terms: 14v + v = 15v -8 + 15v = -38 + -1v + v Combine like terms: -1v + v = 0 -8 + 15v = -38 + 0 -8 + 15v = -38 Add '8' to each side of the equation. -8 + 8 + 15v = -38 + 8 Combine like terms: -8 + 8 = 0 0 + 15v = -38 + 8 15v = -38 + 8 Combine like terms: -38 + 8 = -30 15v = -30 Divide each side by '15'. v = -2 Simplifying v = -2
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