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Simplifying -38 + 4v = 6(v + -8) + -7v Reorder the terms: -38 + 4v = 6(-8 + v) + -7v -38 + 4v = (-8 * 6 + v * 6) + -7v -38 + 4v = (-48 + 6v) + -7v Combine like terms: 6v + -7v = -1v -38 + 4v = -48 + -1v Solving -38 + 4v = -48 + -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. -38 + 4v + v = -48 + -1v + v Combine like terms: 4v + v = 5v -38 + 5v = -48 + -1v + v Combine like terms: -1v + v = 0 -38 + 5v = -48 + 0 -38 + 5v = -48 Add '38' to each side of the equation. -38 + 38 + 5v = -48 + 38 Combine like terms: -38 + 38 = 0 0 + 5v = -48 + 38 5v = -48 + 38 Combine like terms: -48 + 38 = -10 5v = -10 Divide each side by '5'. v = -2 Simplifying v = -2
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