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Simplifying 2(v + -2) + -6 = -4(-4v + 6) + -6v Reorder the terms: 2(-2 + v) + -6 = -4(-4v + 6) + -6v (-2 * 2 + v * 2) + -6 = -4(-4v + 6) + -6v (-4 + 2v) + -6 = -4(-4v + 6) + -6v Reorder the terms: -4 + -6 + 2v = -4(-4v + 6) + -6v Combine like terms: -4 + -6 = -10 -10 + 2v = -4(-4v + 6) + -6v Reorder the terms: -10 + 2v = -4(6 + -4v) + -6v -10 + 2v = (6 * -4 + -4v * -4) + -6v -10 + 2v = (-24 + 16v) + -6v Combine like terms: 16v + -6v = 10v -10 + 2v = -24 + 10v Solving -10 + 2v = -24 + 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. -10 + 2v + -10v = -24 + 10v + -10v Combine like terms: 2v + -10v = -8v -10 + -8v = -24 + 10v + -10v Combine like terms: 10v + -10v = 0 -10 + -8v = -24 + 0 -10 + -8v = -24 Add '10' to each side of the equation. -10 + 10 + -8v = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -8v = -24 + 10 -8v = -24 + 10 Combine like terms: -24 + 10 = -14 -8v = -14 Divide each side by '-8'. v = 1.75 Simplifying v = 1.75
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