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Simplifying -36 + 6v = 7(3v + 4) + v Reorder the terms: -36 + 6v = 7(4 + 3v) + v -36 + 6v = (4 * 7 + 3v * 7) + v -36 + 6v = (28 + 21v) + v Combine like terms: 21v + v = 22v -36 + 6v = 28 + 22v Solving -36 + 6v = 28 + 22v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-22v' to each side of the equation. -36 + 6v + -22v = 28 + 22v + -22v Combine like terms: 6v + -22v = -16v -36 + -16v = 28 + 22v + -22v Combine like terms: 22v + -22v = 0 -36 + -16v = 28 + 0 -36 + -16v = 28 Add '36' to each side of the equation. -36 + 36 + -16v = 28 + 36 Combine like terms: -36 + 36 = 0 0 + -16v = 28 + 36 -16v = 28 + 36 Combine like terms: 28 + 36 = 64 -16v = 64 Divide each side by '-16'. v = -4 Simplifying v = -4
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