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Simplifying -204 = 4(3 + -7v) + 8 -204 = (3 * 4 + -7v * 4) + 8 -204 = (12 + -28v) + 8 Reorder the terms: -204 = 12 + 8 + -28v Combine like terms: 12 + 8 = 20 -204 = 20 + -28v Solving -204 = 20 + -28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28v' to each side of the equation. -204 + 28v = 20 + -28v + 28v Combine like terms: -28v + 28v = 0 -204 + 28v = 20 + 0 -204 + 28v = 20 Add '204' to each side of the equation. -204 + 204 + 28v = 20 + 204 Combine like terms: -204 + 204 = 0 0 + 28v = 20 + 204 28v = 20 + 204 Combine like terms: 20 + 204 = 224 28v = 224 Divide each side by '28'. v = 8 Simplifying v = 8
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