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Simplifying 5(v + -4) + -7v = -38 Reorder the terms: 5(-4 + v) + -7v = -38 (-4 * 5 + v * 5) + -7v = -38 (-20 + 5v) + -7v = -38 Combine like terms: 5v + -7v = -2v -20 + -2v = -38 Solving -20 + -2v = -38 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -2v = -38 + 20 Combine like terms: -20 + 20 = 0 0 + -2v = -38 + 20 -2v = -38 + 20 Combine like terms: -38 + 20 = -18 -2v = -18 Divide each side by '-2'. v = 9 Simplifying v = 9
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