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Simplifying -4v + -25 = -7(v + 1) Reorder the terms: -25 + -4v = -7(v + 1) Reorder the terms: -25 + -4v = -7(1 + v) -25 + -4v = (1 * -7 + v * -7) -25 + -4v = (-7 + -7v) Solving -25 + -4v = -7 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -25 + -4v + 7v = -7 + -7v + 7v Combine like terms: -4v + 7v = 3v -25 + 3v = -7 + -7v + 7v Combine like terms: -7v + 7v = 0 -25 + 3v = -7 + 0 -25 + 3v = -7 Add '25' to each side of the equation. -25 + 25 + 3v = -7 + 25 Combine like terms: -25 + 25 = 0 0 + 3v = -7 + 25 3v = -7 + 25 Combine like terms: -7 + 25 = 18 3v = 18 Divide each side by '3'. v = 6 Simplifying v = 6
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