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Simplifying 40 + -8(4v + 6) = 2(4v + -4) Reorder the terms: 40 + -8(6 + 4v) = 2(4v + -4) 40 + (6 * -8 + 4v * -8) = 2(4v + -4) 40 + (-48 + -32v) = 2(4v + -4) Combine like terms: 40 + -48 = -8 -8 + -32v = 2(4v + -4) Reorder the terms: -8 + -32v = 2(-4 + 4v) -8 + -32v = (-4 * 2 + 4v * 2) -8 + -32v = (-8 + 8v) Add '8' to each side of the equation. -8 + 8 + -32v = -8 + 8 + 8v Combine like terms: -8 + 8 = 0 0 + -32v = -8 + 8 + 8v -32v = -8 + 8 + 8v Combine like terms: -8 + 8 = 0 -32v = 0 + 8v -32v = 8v Solving -32v = 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. -32v + -8v = 8v + -8v Combine like terms: -32v + -8v = -40v -40v = 8v + -8v Combine like terms: 8v + -8v = 0 -40v = 0 Divide each side by '-40'. v = 0.0 Simplifying v = 0.0
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