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Simplifying -8(v + 4) + 3v + 5 = 5v + 7 Reorder the terms: -8(4 + v) + 3v + 5 = 5v + 7 (4 * -8 + v * -8) + 3v + 5 = 5v + 7 (-32 + -8v) + 3v + 5 = 5v + 7 Reorder the terms: -32 + 5 + -8v + 3v = 5v + 7 Combine like terms: -32 + 5 = -27 -27 + -8v + 3v = 5v + 7 Combine like terms: -8v + 3v = -5v -27 + -5v = 5v + 7 Reorder the terms: -27 + -5v = 7 + 5v Solving -27 + -5v = 7 + 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. -27 + -5v + -5v = 7 + 5v + -5v Combine like terms: -5v + -5v = -10v -27 + -10v = 7 + 5v + -5v Combine like terms: 5v + -5v = 0 -27 + -10v = 7 + 0 -27 + -10v = 7 Add '27' to each side of the equation. -27 + 27 + -10v = 7 + 27 Combine like terms: -27 + 27 = 0 0 + -10v = 7 + 27 -10v = 7 + 27 Combine like terms: 7 + 27 = 34 -10v = 34 Divide each side by '-10'. v = -3.4 Simplifying v = -3.4
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