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Simplifying -4(-7v + 5) + -7v = 7(v + -3) + -1 Reorder the terms: -4(5 + -7v) + -7v = 7(v + -3) + -1 (5 * -4 + -7v * -4) + -7v = 7(v + -3) + -1 (-20 + 28v) + -7v = 7(v + -3) + -1 Combine like terms: 28v + -7v = 21v -20 + 21v = 7(v + -3) + -1 Reorder the terms: -20 + 21v = 7(-3 + v) + -1 -20 + 21v = (-3 * 7 + v * 7) + -1 -20 + 21v = (-21 + 7v) + -1 Reorder the terms: -20 + 21v = -21 + -1 + 7v Combine like terms: -21 + -1 = -22 -20 + 21v = -22 + 7v Solving -20 + 21v = -22 + 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. -20 + 21v + -7v = -22 + 7v + -7v Combine like terms: 21v + -7v = 14v -20 + 14v = -22 + 7v + -7v Combine like terms: 7v + -7v = 0 -20 + 14v = -22 + 0 -20 + 14v = -22 Add '20' to each side of the equation. -20 + 20 + 14v = -22 + 20 Combine like terms: -20 + 20 = 0 0 + 14v = -22 + 20 14v = -22 + 20 Combine like terms: -22 + 20 = -2 14v = -2 Divide each side by '14'. v = -0.1428571429 Simplifying v = -0.1428571429
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