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Simplifying 3v + -1 = -4(v + 9) Reorder the terms: -1 + 3v = -4(v + 9) Reorder the terms: -1 + 3v = -4(9 + v) -1 + 3v = (9 * -4 + v * -4) -1 + 3v = (-36 + -4v) Solving -1 + 3v = -36 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -1 + 3v + 4v = -36 + -4v + 4v Combine like terms: 3v + 4v = 7v -1 + 7v = -36 + -4v + 4v Combine like terms: -4v + 4v = 0 -1 + 7v = -36 + 0 -1 + 7v = -36 Add '1' to each side of the equation. -1 + 1 + 7v = -36 + 1 Combine like terms: -1 + 1 = 0 0 + 7v = -36 + 1 7v = -36 + 1 Combine like terms: -36 + 1 = -35 7v = -35 Divide each side by '7'. v = -5 Simplifying v = -5
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