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Simplifying 3v + 8 = -4(v + -9) Reorder the terms: 8 + 3v = -4(v + -9) Reorder the terms: 8 + 3v = -4(-9 + v) 8 + 3v = (-9 * -4 + v * -4) 8 + 3v = (36 + -4v) Solving 8 + 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. 8 + 3v + 4v = 36 + -4v + 4v Combine like terms: 3v + 4v = 7v 8 + 7v = 36 + -4v + 4v Combine like terms: -4v + 4v = 0 8 + 7v = 36 + 0 8 + 7v = 36 Add '-8' to each side of the equation. 8 + -8 + 7v = 36 + -8 Combine like terms: 8 + -8 = 0 0 + 7v = 36 + -8 7v = 36 + -8 Combine like terms: 36 + -8 = 28 7v = 28 Divide each side by '7'. v = 4 Simplifying v = 4
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