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Simplifying 4(v + -7) + -6v = -38 Reorder the terms: 4(-7 + v) + -6v = -38 (-7 * 4 + v * 4) + -6v = -38 (-28 + 4v) + -6v = -38 Combine like terms: 4v + -6v = -2v -28 + -2v = -38 Solving -28 + -2v = -38 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -2v = -38 + 28 Combine like terms: -28 + 28 = 0 0 + -2v = -38 + 28 -2v = -38 + 28 Combine like terms: -38 + 28 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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