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Simplifying -6(v + 2) + 3v + 5 = 5v + 8 Reorder the terms: -6(2 + v) + 3v + 5 = 5v + 8 (2 * -6 + v * -6) + 3v + 5 = 5v + 8 (-12 + -6v) + 3v + 5 = 5v + 8 Reorder the terms: -12 + 5 + -6v + 3v = 5v + 8 Combine like terms: -12 + 5 = -7 -7 + -6v + 3v = 5v + 8 Combine like terms: -6v + 3v = -3v -7 + -3v = 5v + 8 Reorder the terms: -7 + -3v = 8 + 5v Solving -7 + -3v = 8 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -7 + -3v + -5v = 8 + 5v + -5v Combine like terms: -3v + -5v = -8v -7 + -8v = 8 + 5v + -5v Combine like terms: 5v + -5v = 0 -7 + -8v = 8 + 0 -7 + -8v = 8 Add '7' to each side of the equation. -7 + 7 + -8v = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -8v = 8 + 7 -8v = 8 + 7 Combine like terms: 8 + 7 = 15 -8v = 15 Divide each side by '-8'. v = -1.875 Simplifying v = -1.875
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