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Simplifying -8(v + 3) + 3v + 6 = 7v + 9 Reorder the terms: -8(3 + v) + 3v + 6 = 7v + 9 (3 * -8 + v * -8) + 3v + 6 = 7v + 9 (-24 + -8v) + 3v + 6 = 7v + 9 Reorder the terms: -24 + 6 + -8v + 3v = 7v + 9 Combine like terms: -24 + 6 = -18 -18 + -8v + 3v = 7v + 9 Combine like terms: -8v + 3v = -5v -18 + -5v = 7v + 9 Reorder the terms: -18 + -5v = 9 + 7v Solving -18 + -5v = 9 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -18 + -5v + -7v = 9 + 7v + -7v Combine like terms: -5v + -7v = -12v -18 + -12v = 9 + 7v + -7v Combine like terms: 7v + -7v = 0 -18 + -12v = 9 + 0 -18 + -12v = 9 Add '18' to each side of the equation. -18 + 18 + -12v = 9 + 18 Combine like terms: -18 + 18 = 0 0 + -12v = 9 + 18 -12v = 9 + 18 Combine like terms: 9 + 18 = 27 -12v = 27 Divide each side by '-12'. v = -2.25 Simplifying v = -2.25
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