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Simplifying 4(5v + -2) + 8(8v + -3) = 20 Reorder the terms: 4(-2 + 5v) + 8(8v + -3) = 20 (-2 * 4 + 5v * 4) + 8(8v + -3) = 20 (-8 + 20v) + 8(8v + -3) = 20 Reorder the terms: -8 + 20v + 8(-3 + 8v) = 20 -8 + 20v + (-3 * 8 + 8v * 8) = 20 -8 + 20v + (-24 + 64v) = 20 Reorder the terms: -8 + -24 + 20v + 64v = 20 Combine like terms: -8 + -24 = -32 -32 + 20v + 64v = 20 Combine like terms: 20v + 64v = 84v -32 + 84v = 20 Solving -32 + 84v = 20 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 84v = 20 + 32 Combine like terms: -32 + 32 = 0 0 + 84v = 20 + 32 84v = 20 + 32 Combine like terms: 20 + 32 = 52 84v = 52 Divide each side by '84'. v = 0.619047619 Simplifying v = 0.619047619
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