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Simplifying -5(v + 2) + 3v + 6 = 8v + 8 Reorder the terms: -5(2 + v) + 3v + 6 = 8v + 8 (2 * -5 + v * -5) + 3v + 6 = 8v + 8 (-10 + -5v) + 3v + 6 = 8v + 8 Reorder the terms: -10 + 6 + -5v + 3v = 8v + 8 Combine like terms: -10 + 6 = -4 -4 + -5v + 3v = 8v + 8 Combine like terms: -5v + 3v = -2v -4 + -2v = 8v + 8 Reorder the terms: -4 + -2v = 8 + 8v Solving -4 + -2v = 8 + 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. -4 + -2v + -8v = 8 + 8v + -8v Combine like terms: -2v + -8v = -10v -4 + -10v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 -4 + -10v = 8 + 0 -4 + -10v = 8 Add '4' to each side of the equation. -4 + 4 + -10v = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -10v = 8 + 4 -10v = 8 + 4 Combine like terms: 8 + 4 = 12 -10v = 12 Divide each side by '-10'. v = -1.2 Simplifying v = -1.2
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