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Simplifying 4(v + -2) = 4v + 8 + -2(-4v + -1) Reorder the terms: 4(-2 + v) = 4v + 8 + -2(-4v + -1) (-2 * 4 + v * 4) = 4v + 8 + -2(-4v + -1) (-8 + 4v) = 4v + 8 + -2(-4v + -1) Reorder the terms: -8 + 4v = 4v + 8 + -2(-1 + -4v) -8 + 4v = 4v + 8 + (-1 * -2 + -4v * -2) -8 + 4v = 4v + 8 + (2 + 8v) Reorder the terms: -8 + 4v = 8 + 2 + 4v + 8v Combine like terms: 8 + 2 = 10 -8 + 4v = 10 + 4v + 8v Combine like terms: 4v + 8v = 12v -8 + 4v = 10 + 12v Solving -8 + 4v = 10 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -8 + 4v + -12v = 10 + 12v + -12v Combine like terms: 4v + -12v = -8v -8 + -8v = 10 + 12v + -12v Combine like terms: 12v + -12v = 0 -8 + -8v = 10 + 0 -8 + -8v = 10 Add '8' to each side of the equation. -8 + 8 + -8v = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -8v = 10 + 8 -8v = 10 + 8 Combine like terms: 10 + 8 = 18 -8v = 18 Divide each side by '-8'. v = -2.25 Simplifying v = -2.25
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