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Simplifying 2(v + -4) + -10 = -22(-1 + 4v) Reorder the terms: 2(-4 + v) + -10 = -22(-1 + 4v) (-4 * 2 + v * 2) + -10 = -22(-1 + 4v) (-8 + 2v) + -10 = -22(-1 + 4v) Reorder the terms: -8 + -10 + 2v = -22(-1 + 4v) Combine like terms: -8 + -10 = -18 -18 + 2v = -22(-1 + 4v) -18 + 2v = (-1 * -22 + 4v * -22) -18 + 2v = (22 + -88v) Solving -18 + 2v = 22 + -88v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '88v' to each side of the equation. -18 + 2v + 88v = 22 + -88v + 88v Combine like terms: 2v + 88v = 90v -18 + 90v = 22 + -88v + 88v Combine like terms: -88v + 88v = 0 -18 + 90v = 22 + 0 -18 + 90v = 22 Add '18' to each side of the equation. -18 + 18 + 90v = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 90v = 22 + 18 90v = 22 + 18 Combine like terms: 22 + 18 = 40 90v = 40 Divide each side by '90'. v = 0.4444444444 Simplifying v = 0.4444444444
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