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Simplifying -4v + -1(7v + 3) = -24 + -8v Reorder the terms: -4v + -1(3 + 7v) = -24 + -8v -4v + (3 * -1 + 7v * -1) = -24 + -8v -4v + (-3 + -7v) = -24 + -8v Reorder the terms: -3 + -4v + -7v = -24 + -8v Combine like terms: -4v + -7v = -11v -3 + -11v = -24 + -8v Solving -3 + -11v = -24 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -3 + -11v + 8v = -24 + -8v + 8v Combine like terms: -11v + 8v = -3v -3 + -3v = -24 + -8v + 8v Combine like terms: -8v + 8v = 0 -3 + -3v = -24 + 0 -3 + -3v = -24 Add '3' to each side of the equation. -3 + 3 + -3v = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -3v = -24 + 3 -3v = -24 + 3 Combine like terms: -24 + 3 = -21 -3v = -21 Divide each side by '-3'. v = 7 Simplifying v = 7
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