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Simplifying 1 + -1(-3 + 6v) = 6v + 41 1 + (-3 * -1 + 6v * -1) = 6v + 41 1 + (3 + -6v) = 6v + 41 Combine like terms: 1 + 3 = 4 4 + -6v = 6v + 41 Reorder the terms: 4 + -6v = 41 + 6v Solving 4 + -6v = 41 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 4 + -6v + -6v = 41 + 6v + -6v Combine like terms: -6v + -6v = -12v 4 + -12v = 41 + 6v + -6v Combine like terms: 6v + -6v = 0 4 + -12v = 41 + 0 4 + -12v = 41 Add '-4' to each side of the equation. 4 + -4 + -12v = 41 + -4 Combine like terms: 4 + -4 = 0 0 + -12v = 41 + -4 -12v = 41 + -4 Combine like terms: 41 + -4 = 37 -12v = 37 Divide each side by '-12'. v = -3.083333333 Simplifying v = -3.083333333
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