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Simplifying 4(5v + -5) + 6(1 + -6v) = -46 Reorder the terms: 4(-5 + 5v) + 6(1 + -6v) = -46 (-5 * 4 + 5v * 4) + 6(1 + -6v) = -46 (-20 + 20v) + 6(1 + -6v) = -46 -20 + 20v + (1 * 6 + -6v * 6) = -46 -20 + 20v + (6 + -36v) = -46 Reorder the terms: -20 + 6 + 20v + -36v = -46 Combine like terms: -20 + 6 = -14 -14 + 20v + -36v = -46 Combine like terms: 20v + -36v = -16v -14 + -16v = -46 Solving -14 + -16v = -46 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -16v = -46 + 14 Combine like terms: -14 + 14 = 0 0 + -16v = -46 + 14 -16v = -46 + 14 Combine like terms: -46 + 14 = -32 -16v = -32 Divide each side by '-16'. v = 2 Simplifying v = 2
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