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Simplifying -4(8v + -7) + 6(-4v + -1) = 22 Reorder the terms: -4(-7 + 8v) + 6(-4v + -1) = 22 (-7 * -4 + 8v * -4) + 6(-4v + -1) = 22 (28 + -32v) + 6(-4v + -1) = 22 Reorder the terms: 28 + -32v + 6(-1 + -4v) = 22 28 + -32v + (-1 * 6 + -4v * 6) = 22 28 + -32v + (-6 + -24v) = 22 Reorder the terms: 28 + -6 + -32v + -24v = 22 Combine like terms: 28 + -6 = 22 22 + -32v + -24v = 22 Combine like terms: -32v + -24v = -56v 22 + -56v = 22 Add '-22' to each side of the equation. 22 + -22 + -56v = 22 + -22 Combine like terms: 22 + -22 = 0 0 + -56v = 22 + -22 -56v = 22 + -22 Combine like terms: 22 + -22 = 0 -56v = 0 Solving -56v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by '-56'. v = 0 Simplifying v = 0
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