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Simplifying -8(v + 3) + 3v + 5 = 7v + 8 Reorder the terms: -8(3 + v) + 3v + 5 = 7v + 8 (3 * -8 + v * -8) + 3v + 5 = 7v + 8 (-24 + -8v) + 3v + 5 = 7v + 8 Reorder the terms: -24 + 5 + -8v + 3v = 7v + 8 Combine like terms: -24 + 5 = -19 -19 + -8v + 3v = 7v + 8 Combine like terms: -8v + 3v = -5v -19 + -5v = 7v + 8 Reorder the terms: -19 + -5v = 8 + 7v Solving -19 + -5v = 8 + 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. -19 + -5v + -7v = 8 + 7v + -7v Combine like terms: -5v + -7v = -12v -19 + -12v = 8 + 7v + -7v Combine like terms: 7v + -7v = 0 -19 + -12v = 8 + 0 -19 + -12v = 8 Add '19' to each side of the equation. -19 + 19 + -12v = 8 + 19 Combine like terms: -19 + 19 = 0 0 + -12v = 8 + 19 -12v = 8 + 19 Combine like terms: 8 + 19 = 27 -12v = 27 Divide each side by '-12'. v = -2.25 Simplifying v = -2.25
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