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Simplifying -133 = 7 + -7(4v + 8) Reorder the terms: -133 = 7 + -7(8 + 4v) -133 = 7 + (8 * -7 + 4v * -7) -133 = 7 + (-56 + -28v) Combine like terms: 7 + -56 = -49 -133 = -49 + -28v Solving -133 = -49 + -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. -133 + 28v = -49 + -28v + 28v Combine like terms: -28v + 28v = 0 -133 + 28v = -49 + 0 -133 + 28v = -49 Add '133' to each side of the equation. -133 + 133 + 28v = -49 + 133 Combine like terms: -133 + 133 = 0 0 + 28v = -49 + 133 28v = -49 + 133 Combine like terms: -49 + 133 = 84 28v = 84 Divide each side by '28'. v = 3 Simplifying v = 3
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