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Simplifying -38 = -4v + 7(v + -2) Reorder the terms: -38 = -4v + 7(-2 + v) -38 = -4v + (-2 * 7 + v * 7) -38 = -4v + (-14 + 7v) Reorder the terms: -38 = -14 + -4v + 7v Combine like terms: -4v + 7v = 3v -38 = -14 + 3v Solving -38 = -14 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -38 + -3v = -14 + 3v + -3v Combine like terms: 3v + -3v = 0 -38 + -3v = -14 + 0 -38 + -3v = -14 Add '38' to each side of the equation. -38 + 38 + -3v = -14 + 38 Combine like terms: -38 + 38 = 0 0 + -3v = -14 + 38 -3v = -14 + 38 Combine like terms: -14 + 38 = 24 -3v = 24 Divide each side by '-3'. v = -8 Simplifying v = -8
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