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Simplifying 30 + 4v = 2 + -4(1 + -5v) 30 + 4v = 2 + (1 * -4 + -5v * -4) 30 + 4v = 2 + (-4 + 20v) Combine like terms: 2 + -4 = -2 30 + 4v = -2 + 20v Solving 30 + 4v = -2 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. 30 + 4v + -20v = -2 + 20v + -20v Combine like terms: 4v + -20v = -16v 30 + -16v = -2 + 20v + -20v Combine like terms: 20v + -20v = 0 30 + -16v = -2 + 0 30 + -16v = -2 Add '-30' to each side of the equation. 30 + -30 + -16v = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -16v = -2 + -30 -16v = -2 + -30 Combine like terms: -2 + -30 = -32 -16v = -32 Divide each side by '-16'. v = 2 Simplifying v = 2
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