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Simplifying 20(v + -4) + -10 = -2(-1 + 4v) Reorder the terms: 20(-4 + v) + -10 = -2(-1 + 4v) (-4 * 20 + v * 20) + -10 = -2(-1 + 4v) (-80 + 20v) + -10 = -2(-1 + 4v) Reorder the terms: -80 + -10 + 20v = -2(-1 + 4v) Combine like terms: -80 + -10 = -90 -90 + 20v = -2(-1 + 4v) -90 + 20v = (-1 * -2 + 4v * -2) -90 + 20v = (2 + -8v) Solving -90 + 20v = 2 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -90 + 20v + 8v = 2 + -8v + 8v Combine like terms: 20v + 8v = 28v -90 + 28v = 2 + -8v + 8v Combine like terms: -8v + 8v = 0 -90 + 28v = 2 + 0 -90 + 28v = 2 Add '90' to each side of the equation. -90 + 90 + 28v = 2 + 90 Combine like terms: -90 + 90 = 0 0 + 28v = 2 + 90 28v = 2 + 90 Combine like terms: 2 + 90 = 92 28v = 92 Divide each side by '28'. v = 3.285714286 Simplifying v = 3.285714286
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