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Simplifying -216 = -3(-8v + -8) + 6v Reorder the terms: -216 = -3(-8 + -8v) + 6v -216 = (-8 * -3 + -8v * -3) + 6v -216 = (24 + 24v) + 6v Combine like terms: 24v + 6v = 30v -216 = 24 + 30v Solving -216 = 24 + 30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30v' to each side of the equation. -216 + -30v = 24 + 30v + -30v Combine like terms: 30v + -30v = 0 -216 + -30v = 24 + 0 -216 + -30v = 24 Add '216' to each side of the equation. -216 + 216 + -30v = 24 + 216 Combine like terms: -216 + 216 = 0 0 + -30v = 24 + 216 -30v = 24 + 216 Combine like terms: 24 + 216 = 240 -30v = 240 Divide each side by '-30'. v = -8 Simplifying v = -8
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