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Simplifying -11(1 + -4v) = 7v + 6(-11 + -3v) (1 * -11 + -4v * -11) = 7v + 6(-11 + -3v) (-11 + 44v) = 7v + 6(-11 + -3v) -11 + 44v = 7v + (-11 * 6 + -3v * 6) -11 + 44v = 7v + (-66 + -18v) Reorder the terms: -11 + 44v = -66 + 7v + -18v Combine like terms: 7v + -18v = -11v -11 + 44v = -66 + -11v Solving -11 + 44v = -66 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. -11 + 44v + 11v = -66 + -11v + 11v Combine like terms: 44v + 11v = 55v -11 + 55v = -66 + -11v + 11v Combine like terms: -11v + 11v = 0 -11 + 55v = -66 + 0 -11 + 55v = -66 Add '11' to each side of the equation. -11 + 11 + 55v = -66 + 11 Combine like terms: -11 + 11 = 0 0 + 55v = -66 + 11 55v = -66 + 11 Combine like terms: -66 + 11 = -55 55v = -55 Divide each side by '55'. v = -1 Simplifying v = -1
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