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Simplifying 2(v + -9) + -4 = -4(-4v + 8) + -6v Reorder the terms: 2(-9 + v) + -4 = -4(-4v + 8) + -6v (-9 * 2 + v * 2) + -4 = -4(-4v + 8) + -6v (-18 + 2v) + -4 = -4(-4v + 8) + -6v Reorder the terms: -18 + -4 + 2v = -4(-4v + 8) + -6v Combine like terms: -18 + -4 = -22 -22 + 2v = -4(-4v + 8) + -6v Reorder the terms: -22 + 2v = -4(8 + -4v) + -6v -22 + 2v = (8 * -4 + -4v * -4) + -6v -22 + 2v = (-32 + 16v) + -6v Combine like terms: 16v + -6v = 10v -22 + 2v = -32 + 10v Solving -22 + 2v = -32 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -22 + 2v + -10v = -32 + 10v + -10v Combine like terms: 2v + -10v = -8v -22 + -8v = -32 + 10v + -10v Combine like terms: 10v + -10v = 0 -22 + -8v = -32 + 0 -22 + -8v = -32 Add '22' to each side of the equation. -22 + 22 + -8v = -32 + 22 Combine like terms: -22 + 22 = 0 0 + -8v = -32 + 22 -8v = -32 + 22 Combine like terms: -32 + 22 = -10 -8v = -10 Divide each side by '-8'. v = 1.25 Simplifying v = 1.25
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