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Simplifying 2(v + -1) + -4 = -3(-4v + 1) + -4v Reorder the terms: 2(-1 + v) + -4 = -3(-4v + 1) + -4v (-1 * 2 + v * 2) + -4 = -3(-4v + 1) + -4v (-2 + 2v) + -4 = -3(-4v + 1) + -4v Reorder the terms: -2 + -4 + 2v = -3(-4v + 1) + -4v Combine like terms: -2 + -4 = -6 -6 + 2v = -3(-4v + 1) + -4v Reorder the terms: -6 + 2v = -3(1 + -4v) + -4v -6 + 2v = (1 * -3 + -4v * -3) + -4v -6 + 2v = (-3 + 12v) + -4v Combine like terms: 12v + -4v = 8v -6 + 2v = -3 + 8v Solving -6 + 2v = -3 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -6 + 2v + -8v = -3 + 8v + -8v Combine like terms: 2v + -8v = -6v -6 + -6v = -3 + 8v + -8v Combine like terms: 8v + -8v = 0 -6 + -6v = -3 + 0 -6 + -6v = -3 Add '6' to each side of the equation. -6 + 6 + -6v = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -6v = -3 + 6 -6v = -3 + 6 Combine like terms: -3 + 6 = 3 -6v = 3 Divide each side by '-6'. v = -0.5 Simplifying v = -0.5
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