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Simplifying -1(v + 4) + 3 = -2(-4 + v) + -7 Reorder the terms: -1(4 + v) + 3 = -2(-4 + v) + -7 (4 * -1 + v * -1) + 3 = -2(-4 + v) + -7 (-4 + -1v) + 3 = -2(-4 + v) + -7 Reorder the terms: -4 + 3 + -1v = -2(-4 + v) + -7 Combine like terms: -4 + 3 = -1 -1 + -1v = -2(-4 + v) + -7 -1 + -1v = (-4 * -2 + v * -2) + -7 -1 + -1v = (8 + -2v) + -7 Reorder the terms: -1 + -1v = 8 + -7 + -2v Combine like terms: 8 + -7 = 1 -1 + -1v = 1 + -2v Solving -1 + -1v = 1 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -1 + -1v + 2v = 1 + -2v + 2v Combine like terms: -1v + 2v = 1v -1 + 1v = 1 + -2v + 2v Combine like terms: -2v + 2v = 0 -1 + 1v = 1 + 0 -1 + 1v = 1 Add '1' to each side of the equation. -1 + 1 + 1v = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 1v = 1 + 1 1v = 1 + 1 Combine like terms: 1 + 1 = 2 1v = 2 Divide each side by '1'. v = 2 Simplifying v = 2
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