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Simplifying 2(v + -3) = 1 + -1(v + 4) Reorder the terms: 2(-3 + v) = 1 + -1(v + 4) (-3 * 2 + v * 2) = 1 + -1(v + 4) (-6 + 2v) = 1 + -1(v + 4) Reorder the terms: -6 + 2v = 1 + -1(4 + v) -6 + 2v = 1 + (4 * -1 + v * -1) -6 + 2v = 1 + (-4 + -1v) Combine like terms: 1 + -4 = -3 -6 + 2v = -3 + -1v Solving -6 + 2v = -3 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -6 + 2v + v = -3 + -1v + v Combine like terms: 2v + v = 3v -6 + 3v = -3 + -1v + v Combine like terms: -1v + v = 0 -6 + 3v = -3 + 0 -6 + 3v = -3 Add '6' to each side of the equation. -6 + 6 + 3v = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 3v = -3 + 6 3v = -3 + 6 Combine like terms: -3 + 6 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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