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Simplifying -7v + -31 = -1(v + 7) Reorder the terms: -31 + -7v = -1(v + 7) Reorder the terms: -31 + -7v = -1(7 + v) -31 + -7v = (7 * -1 + v * -1) -31 + -7v = (-7 + -1v) Solving -31 + -7v = -7 + -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. -31 + -7v + v = -7 + -1v + v Combine like terms: -7v + v = -6v -31 + -6v = -7 + -1v + v Combine like terms: -1v + v = 0 -31 + -6v = -7 + 0 -31 + -6v = -7 Add '31' to each side of the equation. -31 + 31 + -6v = -7 + 31 Combine like terms: -31 + 31 = 0 0 + -6v = -7 + 31 -6v = -7 + 31 Combine like terms: -7 + 31 = 24 -6v = 24 Divide each side by '-6'. v = -4 Simplifying v = -4
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