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Simplifying 1 + -3(1 + 6v) = 4(1 + -3v) 1 + (1 * -3 + 6v * -3) = 4(1 + -3v) 1 + (-3 + -18v) = 4(1 + -3v) Combine like terms: 1 + -3 = -2 -2 + -18v = 4(1 + -3v) -2 + -18v = (1 * 4 + -3v * 4) -2 + -18v = (4 + -12v) Solving -2 + -18v = 4 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -2 + -18v + 12v = 4 + -12v + 12v Combine like terms: -18v + 12v = -6v -2 + -6v = 4 + -12v + 12v Combine like terms: -12v + 12v = 0 -2 + -6v = 4 + 0 -2 + -6v = 4 Add '2' to each side of the equation. -2 + 2 + -6v = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -6v = 4 + 2 -6v = 4 + 2 Combine like terms: 4 + 2 = 6 -6v = 6 Divide each side by '-6'. v = -1 Simplifying v = -1
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