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Simplifying -8(v + 4) + 3v + 6 = 8v + 7 Reorder the terms: -8(4 + v) + 3v + 6 = 8v + 7 (4 * -8 + v * -8) + 3v + 6 = 8v + 7 (-32 + -8v) + 3v + 6 = 8v + 7 Reorder the terms: -32 + 6 + -8v + 3v = 8v + 7 Combine like terms: -32 + 6 = -26 -26 + -8v + 3v = 8v + 7 Combine like terms: -8v + 3v = -5v -26 + -5v = 8v + 7 Reorder the terms: -26 + -5v = 7 + 8v Solving -26 + -5v = 7 + 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. -26 + -5v + -8v = 7 + 8v + -8v Combine like terms: -5v + -8v = -13v -26 + -13v = 7 + 8v + -8v Combine like terms: 8v + -8v = 0 -26 + -13v = 7 + 0 -26 + -13v = 7 Add '26' to each side of the equation. -26 + 26 + -13v = 7 + 26 Combine like terms: -26 + 26 = 0 0 + -13v = 7 + 26 -13v = 7 + 26 Combine like terms: 7 + 26 = 33 -13v = 33 Divide each side by '-13'. v = -2.538461538 Simplifying v = -2.538461538
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