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Simplifying 5v + 2 + -5(-4y + -1) = 7(v + -1) Reorder the terms: 5v + 2 + -5(-1 + -4y) = 7(v + -1) 5v + 2 + (-1 * -5 + -4y * -5) = 7(v + -1) 5v + 2 + (5 + 20y) = 7(v + -1) Reorder the terms: 2 + 5 + 5v + 20y = 7(v + -1) Combine like terms: 2 + 5 = 7 7 + 5v + 20y = 7(v + -1) Reorder the terms: 7 + 5v + 20y = 7(-1 + v) 7 + 5v + 20y = (-1 * 7 + v * 7) 7 + 5v + 20y = (-7 + 7v) Solving 7 + 5v + 20y = -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. 7 + 5v + -7v + 20y = -7 + 7v + -7v Combine like terms: 5v + -7v = -2v 7 + -2v + 20y = -7 + 7v + -7v Combine like terms: 7v + -7v = 0 7 + -2v + 20y = -7 + 0 7 + -2v + 20y = -7 Add '-7' to each side of the equation. 7 + -2v + -7 + 20y = -7 + -7 Reorder the terms: 7 + -7 + -2v + 20y = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -2v + 20y = -7 + -7 -2v + 20y = -7 + -7 Combine like terms: -7 + -7 = -14 -2v + 20y = -14 Add '-20y' to each side of the equation. -2v + 20y + -20y = -14 + -20y Combine like terms: 20y + -20y = 0 -2v + 0 = -14 + -20y -2v = -14 + -20y Divide each side by '-2'. v = 7 + 10y Simplifying v = 7 + 10y
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