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Simplifying -7v + -11 = -4(v + 8) Reorder the terms: -11 + -7v = -4(v + 8) Reorder the terms: -11 + -7v = -4(8 + v) -11 + -7v = (8 * -4 + v * -4) -11 + -7v = (-32 + -4v) Solving -11 + -7v = -32 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -11 + -7v + 4v = -32 + -4v + 4v Combine like terms: -7v + 4v = -3v -11 + -3v = -32 + -4v + 4v Combine like terms: -4v + 4v = 0 -11 + -3v = -32 + 0 -11 + -3v = -32 Add '11' to each side of the equation. -11 + 11 + -3v = -32 + 11 Combine like terms: -11 + 11 = 0 0 + -3v = -32 + 11 -3v = -32 + 11 Combine like terms: -32 + 11 = -21 -3v = -21 Divide each side by '-3'. v = 7 Simplifying v = 7
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