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Simplifying -245 = 7(6v + 1) Reorder the terms: -245 = 7(1 + 6v) -245 = (1 * 7 + 6v * 7) -245 = (7 + 42v) Solving -245 = 7 + 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. -245 + -42v = 7 + 42v + -42v Combine like terms: 42v + -42v = 0 -245 + -42v = 7 + 0 -245 + -42v = 7 Add '245' to each side of the equation. -245 + 245 + -42v = 7 + 245 Combine like terms: -245 + 245 = 0 0 + -42v = 7 + 245 -42v = 7 + 245 Combine like terms: 7 + 245 = 252 -42v = 252 Divide each side by '-42'. v = -6 Simplifying v = -6
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