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Simplifying -9(v + 4) = -2v + 6 Reorder the terms: -9(4 + v) = -2v + 6 (4 * -9 + v * -9) = -2v + 6 (-36 + -9v) = -2v + 6 Reorder the terms: -36 + -9v = 6 + -2v Solving -36 + -9v = 6 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -36 + -9v + 2v = 6 + -2v + 2v Combine like terms: -9v + 2v = -7v -36 + -7v = 6 + -2v + 2v Combine like terms: -2v + 2v = 0 -36 + -7v = 6 + 0 -36 + -7v = 6 Add '36' to each side of the equation. -36 + 36 + -7v = 6 + 36 Combine like terms: -36 + 36 = 0 0 + -7v = 6 + 36 -7v = 6 + 36 Combine like terms: 6 + 36 = 42 -7v = 42 Divide each side by '-7'. v = -6 Simplifying v = -6
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