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Simplifying -36 = 4(v + 2) + 7v Reorder the terms: -36 = 4(2 + v) + 7v -36 = (2 * 4 + v * 4) + 7v -36 = (8 + 4v) + 7v Combine like terms: 4v + 7v = 11v -36 = 8 + 11v Solving -36 = 8 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -36 + -11v = 8 + 11v + -11v Combine like terms: 11v + -11v = 0 -36 + -11v = 8 + 0 -36 + -11v = 8 Add '36' to each side of the equation. -36 + 36 + -11v = 8 + 36 Combine like terms: -36 + 36 = 0 0 + -11v = 8 + 36 -11v = 8 + 36 Combine like terms: 8 + 36 = 44 -11v = 44 Divide each side by '-11'. v = -4 Simplifying v = -4
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