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Simplifying 5v + -25 = -4(7v + -2) Reorder the terms: -25 + 5v = -4(7v + -2) Reorder the terms: -25 + 5v = -4(-2 + 7v) -25 + 5v = (-2 * -4 + 7v * -4) -25 + 5v = (8 + -28v) Solving -25 + 5v = 8 + -28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28v' to each side of the equation. -25 + 5v + 28v = 8 + -28v + 28v Combine like terms: 5v + 28v = 33v -25 + 33v = 8 + -28v + 28v Combine like terms: -28v + 28v = 0 -25 + 33v = 8 + 0 -25 + 33v = 8 Add '25' to each side of the equation. -25 + 25 + 33v = 8 + 25 Combine like terms: -25 + 25 = 0 0 + 33v = 8 + 25 33v = 8 + 25 Combine like terms: 8 + 25 = 33 33v = 33 Divide each side by '33'. v = 1 Simplifying v = 1
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