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Simplifying 4(v + -4) + -7v = -22 Reorder the terms: 4(-4 + v) + -7v = -22 (-4 * 4 + v * 4) + -7v = -22 (-16 + 4v) + -7v = -22 Combine like terms: 4v + -7v = -3v -16 + -3v = -22 Solving -16 + -3v = -22 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 + -3v = -22 + 16 Combine like terms: -16 + 16 = 0 0 + -3v = -22 + 16 -3v = -22 + 16 Combine like terms: -22 + 16 = -6 -3v = -6 Divide each side by '-3'. v = 2 Simplifying v = 2
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