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Simplifying -4v + -16 = 5 + -1(6v + 7) Reorder the terms: -16 + -4v = 5 + -1(6v + 7) Reorder the terms: -16 + -4v = 5 + -1(7 + 6v) -16 + -4v = 5 + (7 * -1 + 6v * -1) -16 + -4v = 5 + (-7 + -6v) Combine like terms: 5 + -7 = -2 -16 + -4v = -2 + -6v Solving -16 + -4v = -2 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -16 + -4v + 6v = -2 + -6v + 6v Combine like terms: -4v + 6v = 2v -16 + 2v = -2 + -6v + 6v Combine like terms: -6v + 6v = 0 -16 + 2v = -2 + 0 -16 + 2v = -2 Add '16' to each side of the equation. -16 + 16 + 2v = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 2v = -2 + 16 2v = -2 + 16 Combine like terms: -2 + 16 = 14 2v = 14 Divide each side by '2'. v = 7 Simplifying v = 7
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