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Simplifying 5(2 + -8v) = -4(8v + -8) + 3v (2 * 5 + -8v * 5) = -4(8v + -8) + 3v (10 + -40v) = -4(8v + -8) + 3v Reorder the terms: 10 + -40v = -4(-8 + 8v) + 3v 10 + -40v = (-8 * -4 + 8v * -4) + 3v 10 + -40v = (32 + -32v) + 3v Combine like terms: -32v + 3v = -29v 10 + -40v = 32 + -29v Solving 10 + -40v = 32 + -29v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '29v' to each side of the equation. 10 + -40v + 29v = 32 + -29v + 29v Combine like terms: -40v + 29v = -11v 10 + -11v = 32 + -29v + 29v Combine like terms: -29v + 29v = 0 10 + -11v = 32 + 0 10 + -11v = 32 Add '-10' to each side of the equation. 10 + -10 + -11v = 32 + -10 Combine like terms: 10 + -10 = 0 0 + -11v = 32 + -10 -11v = 32 + -10 Combine like terms: 32 + -10 = 22 -11v = 22 Divide each side by '-11'. v = -2 Simplifying v = -2
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