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Simplifying 4(v + -4) + 7v = -27 Reorder the terms: 4(-4 + v) + 7v = -27 (-4 * 4 + v * 4) + 7v = -27 (-16 + 4v) + 7v = -27 Combine like terms: 4v + 7v = 11v -16 + 11v = -27 Solving -16 + 11v = -27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 11v = -27 + 16 Combine like terms: -16 + 16 = 0 0 + 11v = -27 + 16 11v = -27 + 16 Combine like terms: -27 + 16 = -11 11v = -11 Divide each side by '11'. v = -1 Simplifying v = -1
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