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Simplifying -204 = 6(7v + 8) Reorder the terms: -204 = 6(8 + 7v) -204 = (8 * 6 + 7v * 6) -204 = (48 + 42v) Solving -204 = 48 + 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. -204 + -42v = 48 + 42v + -42v Combine like terms: 42v + -42v = 0 -204 + -42v = 48 + 0 -204 + -42v = 48 Add '204' to each side of the equation. -204 + 204 + -42v = 48 + 204 Combine like terms: -204 + 204 = 0 0 + -42v = 48 + 204 -42v = 48 + 204 Combine like terms: 48 + 204 = 252 -42v = 252 Divide each side by '-42'. v = -6 Simplifying v = -6
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