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Simplifying -91 = 7(4v + 7) Reorder the terms: -91 = 7(7 + 4v) -91 = (7 * 7 + 4v * 7) -91 = (49 + 28v) Solving -91 = 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. -91 + -28v = 49 + 28v + -28v Combine like terms: 28v + -28v = 0 -91 + -28v = 49 + 0 -91 + -28v = 49 Add '91' to each side of the equation. -91 + 91 + -28v = 49 + 91 Combine like terms: -91 + 91 = 0 0 + -28v = 49 + 91 -28v = 49 + 91 Combine like terms: 49 + 91 = 140 -28v = 140 Divide each side by '-28'. v = -5 Simplifying v = -5
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