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Simplifying -8(3v + -8) + -8(v + -7) = -8 Reorder the terms: -8(-8 + 3v) + -8(v + -7) = -8 (-8 * -8 + 3v * -8) + -8(v + -7) = -8 (64 + -24v) + -8(v + -7) = -8 Reorder the terms: 64 + -24v + -8(-7 + v) = -8 64 + -24v + (-7 * -8 + v * -8) = -8 64 + -24v + (56 + -8v) = -8 Reorder the terms: 64 + 56 + -24v + -8v = -8 Combine like terms: 64 + 56 = 120 120 + -24v + -8v = -8 Combine like terms: -24v + -8v = -32v 120 + -32v = -8 Solving 120 + -32v = -8 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -32v = -8 + -120 Combine like terms: 120 + -120 = 0 0 + -32v = -8 + -120 -32v = -8 + -120 Combine like terms: -8 + -120 = -128 -32v = -128 Divide each side by '-32'. v = 4 Simplifying v = 4
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