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Simplifying -4(x + -2) = -4(x + -8) + -8v Reorder the terms: -4(-2 + x) = -4(x + -8) + -8v (-2 * -4 + x * -4) = -4(x + -8) + -8v (8 + -4x) = -4(x + -8) + -8v Reorder the terms: 8 + -4x = -4(-8 + x) + -8v 8 + -4x = (-8 * -4 + x * -4) + -8v 8 + -4x = (32 + -4x) + -8v Reorder the terms: 8 + -4x = 32 + -8v + -4x Add '4x' to each side of the equation. 8 + -4x + 4x = 32 + -8v + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 0 = 32 + -8v + -4x + 4x 8 = 32 + -8v + -4x + 4x Combine like terms: -4x + 4x = 0 8 = 32 + -8v + 0 8 = 32 + -8v Solving 8 = 32 + -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. 8 + 8v = 32 + -8v + 8v Combine like terms: -8v + 8v = 0 8 + 8v = 32 + 0 8 + 8v = 32 Add '-8' to each side of the equation. 8 + -8 + 8v = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 8v = 32 + -8 8v = 32 + -8 Combine like terms: 32 + -8 = 24 8v = 24 Divide each side by '8'. v = 3 Simplifying v = 3
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