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Simplifying -3(v + -4) = -11 + -7(3 + v) Reorder the terms: -3(-4 + v) = -11 + -7(3 + v) (-4 * -3 + v * -3) = -11 + -7(3 + v) (12 + -3v) = -11 + -7(3 + v) 12 + -3v = -11 + (3 * -7 + v * -7) 12 + -3v = -11 + (-21 + -7v) Combine like terms: -11 + -21 = -32 12 + -3v = -32 + -7v Solving 12 + -3v = -32 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 12 + -3v + 7v = -32 + -7v + 7v Combine like terms: -3v + 7v = 4v 12 + 4v = -32 + -7v + 7v Combine like terms: -7v + 7v = 0 12 + 4v = -32 + 0 12 + 4v = -32 Add '-12' to each side of the equation. 12 + -12 + 4v = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 4v = -32 + -12 4v = -32 + -12 Combine like terms: -32 + -12 = -44 4v = -44 Divide each side by '4'. v = -11 Simplifying v = -11
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