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Simplifying -38 + -7v = -1(v + -4) Reorder the terms: -38 + -7v = -1(-4 + v) -38 + -7v = (-4 * -1 + v * -1) -38 + -7v = (4 + -1v) Solving -38 + -7v = 4 + -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 + -7v + v = 4 + -1v + v Combine like terms: -7v + v = -6v -38 + -6v = 4 + -1v + v Combine like terms: -1v + v = 0 -38 + -6v = 4 + 0 -38 + -6v = 4 Add '38' to each side of the equation. -38 + 38 + -6v = 4 + 38 Combine like terms: -38 + 38 = 0 0 + -6v = 4 + 38 -6v = 4 + 38 Combine like terms: 4 + 38 = 42 -6v = 42 Divide each side by '-6'. v = -7 Simplifying v = -7
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