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Simplifying 6v + -4(1 + 4v) = -34 6v + (1 * -4 + 4v * -4) = -34 6v + (-4 + -16v) = -34 Reorder the terms: -4 + 6v + -16v = -34 Combine like terms: 6v + -16v = -10v -4 + -10v = -34 Solving -4 + -10v = -34 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -10v = -34 + 4 Combine like terms: -4 + 4 = 0 0 + -10v = -34 + 4 -10v = -34 + 4 Combine like terms: -34 + 4 = -30 -10v = -30 Divide each side by '-10'. v = 3 Simplifying v = 3
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