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Simplifying 7(v + -1) = 4v + 5 + -3(-7v + -1) Reorder the terms: 7(-1 + v) = 4v + 5 + -3(-7v + -1) (-1 * 7 + v * 7) = 4v + 5 + -3(-7v + -1) (-7 + 7v) = 4v + 5 + -3(-7v + -1) Reorder the terms: -7 + 7v = 4v + 5 + -3(-1 + -7v) -7 + 7v = 4v + 5 + (-1 * -3 + -7v * -3) -7 + 7v = 4v + 5 + (3 + 21v) Reorder the terms: -7 + 7v = 5 + 3 + 4v + 21v Combine like terms: 5 + 3 = 8 -7 + 7v = 8 + 4v + 21v Combine like terms: 4v + 21v = 25v -7 + 7v = 8 + 25v Solving -7 + 7v = 8 + 25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25v' to each side of the equation. -7 + 7v + -25v = 8 + 25v + -25v Combine like terms: 7v + -25v = -18v -7 + -18v = 8 + 25v + -25v Combine like terms: 25v + -25v = 0 -7 + -18v = 8 + 0 -7 + -18v = 8 Add '7' to each side of the equation. -7 + 7 + -18v = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -18v = 8 + 7 -18v = 8 + 7 Combine like terms: 8 + 7 = 15 -18v = 15 Divide each side by '-18'. v = -0.8333333333 Simplifying v = -0.8333333333
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