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Simplifying 4(v + -4) + -2 = -4(-5v + 8) + -6v Reorder the terms: 4(-4 + v) + -2 = -4(-5v + 8) + -6v (-4 * 4 + v * 4) + -2 = -4(-5v + 8) + -6v (-16 + 4v) + -2 = -4(-5v + 8) + -6v Reorder the terms: -16 + -2 + 4v = -4(-5v + 8) + -6v Combine like terms: -16 + -2 = -18 -18 + 4v = -4(-5v + 8) + -6v Reorder the terms: -18 + 4v = -4(8 + -5v) + -6v -18 + 4v = (8 * -4 + -5v * -4) + -6v -18 + 4v = (-32 + 20v) + -6v Combine like terms: 20v + -6v = 14v -18 + 4v = -32 + 14v Solving -18 + 4v = -32 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. -18 + 4v + -14v = -32 + 14v + -14v Combine like terms: 4v + -14v = -10v -18 + -10v = -32 + 14v + -14v Combine like terms: 14v + -14v = 0 -18 + -10v = -32 + 0 -18 + -10v = -32 Add '18' to each side of the equation. -18 + 18 + -10v = -32 + 18 Combine like terms: -18 + 18 = 0 0 + -10v = -32 + 18 -10v = -32 + 18 Combine like terms: -32 + 18 = -14 -10v = -14 Divide each side by '-10'. v = 1.4 Simplifying v = 1.4
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