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Simplifying 3(v + -9) = 8(7v + 4) Reorder the terms: 3(-9 + v) = 8(7v + 4) (-9 * 3 + v * 3) = 8(7v + 4) (-27 + 3v) = 8(7v + 4) Reorder the terms: -27 + 3v = 8(4 + 7v) -27 + 3v = (4 * 8 + 7v * 8) -27 + 3v = (32 + 56v) Solving -27 + 3v = 32 + 56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-56v' to each side of the equation. -27 + 3v + -56v = 32 + 56v + -56v Combine like terms: 3v + -56v = -53v -27 + -53v = 32 + 56v + -56v Combine like terms: 56v + -56v = 0 -27 + -53v = 32 + 0 -27 + -53v = 32 Add '27' to each side of the equation. -27 + 27 + -53v = 32 + 27 Combine like terms: -27 + 27 = 0 0 + -53v = 32 + 27 -53v = 32 + 27 Combine like terms: 32 + 27 = 59 -53v = 59 Divide each side by '-53'. v = -1.113207547 Simplifying v = -1.113207547
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