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Simplifying -249 = -7(1 + 7v) + 3 -249 = (1 * -7 + 7v * -7) + 3 -249 = (-7 + -49v) + 3 Reorder the terms: -249 = -7 + 3 + -49v Combine like terms: -7 + 3 = -4 -249 = -4 + -49v Solving -249 = -4 + -49v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '49v' to each side of the equation. -249 + 49v = -4 + -49v + 49v Combine like terms: -49v + 49v = 0 -249 + 49v = -4 + 0 -249 + 49v = -4 Add '249' to each side of the equation. -249 + 249 + 49v = -4 + 249 Combine like terms: -249 + 249 = 0 0 + 49v = -4 + 249 49v = -4 + 249 Combine like terms: -4 + 249 = 245 49v = 245 Divide each side by '49'. v = 5 Simplifying v = 5
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