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Simplifying -8(v + 3) + 3v + 5 = 8v + 6 Reorder the terms: -8(3 + v) + 3v + 5 = 8v + 6 (3 * -8 + v * -8) + 3v + 5 = 8v + 6 (-24 + -8v) + 3v + 5 = 8v + 6 Reorder the terms: -24 + 5 + -8v + 3v = 8v + 6 Combine like terms: -24 + 5 = -19 -19 + -8v + 3v = 8v + 6 Combine like terms: -8v + 3v = -5v -19 + -5v = 8v + 6 Reorder the terms: -19 + -5v = 6 + 8v Solving -19 + -5v = 6 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -19 + -5v + -8v = 6 + 8v + -8v Combine like terms: -5v + -8v = -13v -19 + -13v = 6 + 8v + -8v Combine like terms: 8v + -8v = 0 -19 + -13v = 6 + 0 -19 + -13v = 6 Add '19' to each side of the equation. -19 + 19 + -13v = 6 + 19 Combine like terms: -19 + 19 = 0 0 + -13v = 6 + 19 -13v = 6 + 19 Combine like terms: 6 + 19 = 25 -13v = 25 Divide each side by '-13'. v = -1.923076923 Simplifying v = -1.923076923
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