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Simplifying -128 = -1v + -3(7v + 6) Reorder the terms: -128 = -1v + -3(6 + 7v) -128 = -1v + (6 * -3 + 7v * -3) -128 = -1v + (-18 + -21v) Reorder the terms: -128 = -18 + -1v + -21v Combine like terms: -1v + -21v = -22v -128 = -18 + -22v Solving -128 = -18 + -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. -128 + 22v = -18 + -22v + 22v Combine like terms: -22v + 22v = 0 -128 + 22v = -18 + 0 -128 + 22v = -18 Add '128' to each side of the equation. -128 + 128 + 22v = -18 + 128 Combine like terms: -128 + 128 = 0 0 + 22v = -18 + 128 22v = -18 + 128 Combine like terms: -18 + 128 = 110 22v = 110 Divide each side by '22'. v = 5 Simplifying v = 5
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