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Simplifying -5v + 4v = 8(v + 7) + -4(v + -1) Combine like terms: -5v + 4v = -1v -1v = 8(v + 7) + -4(v + -1) Reorder the terms: -1v = 8(7 + v) + -4(v + -1) -1v = (7 * 8 + v * 8) + -4(v + -1) -1v = (56 + 8v) + -4(v + -1) Reorder the terms: -1v = 56 + 8v + -4(-1 + v) -1v = 56 + 8v + (-1 * -4 + v * -4) -1v = 56 + 8v + (4 + -4v) Reorder the terms: -1v = 56 + 4 + 8v + -4v Combine like terms: 56 + 4 = 60 -1v = 60 + 8v + -4v Combine like terms: 8v + -4v = 4v -1v = 60 + 4v Solving -1v = 60 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -1v + -4v = 60 + 4v + -4v Combine like terms: -1v + -4v = -5v -5v = 60 + 4v + -4v Combine like terms: 4v + -4v = 0 -5v = 60 + 0 -5v = 60 Divide each side by '-5'. v = -12 Simplifying v = -12
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