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Simplifying 6(v + -4) + -8 = -6(-3v + 4) + -2v Reorder the terms: 6(-4 + v) + -8 = -6(-3v + 4) + -2v (-4 * 6 + v * 6) + -8 = -6(-3v + 4) + -2v (-24 + 6v) + -8 = -6(-3v + 4) + -2v Reorder the terms: -24 + -8 + 6v = -6(-3v + 4) + -2v Combine like terms: -24 + -8 = -32 -32 + 6v = -6(-3v + 4) + -2v Reorder the terms: -32 + 6v = -6(4 + -3v) + -2v -32 + 6v = (4 * -6 + -3v * -6) + -2v -32 + 6v = (-24 + 18v) + -2v Combine like terms: 18v + -2v = 16v -32 + 6v = -24 + 16v Solving -32 + 6v = -24 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -32 + 6v + -16v = -24 + 16v + -16v Combine like terms: 6v + -16v = -10v -32 + -10v = -24 + 16v + -16v Combine like terms: 16v + -16v = 0 -32 + -10v = -24 + 0 -32 + -10v = -24 Add '32' to each side of the equation. -32 + 32 + -10v = -24 + 32 Combine like terms: -32 + 32 = 0 0 + -10v = -24 + 32 -10v = -24 + 32 Combine like terms: -24 + 32 = 8 -10v = 8 Divide each side by '-10'. v = -0.8 Simplifying v = -0.8
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