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Simplifying -8(v + 4) + 3v + 6 = 7v + 6 Reorder the terms: -8(4 + v) + 3v + 6 = 7v + 6 (4 * -8 + v * -8) + 3v + 6 = 7v + 6 (-32 + -8v) + 3v + 6 = 7v + 6 Reorder the terms: -32 + 6 + -8v + 3v = 7v + 6 Combine like terms: -32 + 6 = -26 -26 + -8v + 3v = 7v + 6 Combine like terms: -8v + 3v = -5v -26 + -5v = 7v + 6 Reorder the terms: -26 + -5v = 6 + 7v Solving -26 + -5v = 6 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -26 + -5v + -7v = 6 + 7v + -7v Combine like terms: -5v + -7v = -12v -26 + -12v = 6 + 7v + -7v Combine like terms: 7v + -7v = 0 -26 + -12v = 6 + 0 -26 + -12v = 6 Add '26' to each side of the equation. -26 + 26 + -12v = 6 + 26 Combine like terms: -26 + 26 = 0 0 + -12v = 6 + 26 -12v = 6 + 26 Combine like terms: 6 + 26 = 32 -12v = 32 Divide each side by '-12'. v = -2.666666667 Simplifying v = -2.666666667
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