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Simplifying -8(v + 2) + 3v + 6 = 7v + 8 Reorder the terms: -8(2 + v) + 3v + 6 = 7v + 8 (2 * -8 + v * -8) + 3v + 6 = 7v + 8 (-16 + -8v) + 3v + 6 = 7v + 8 Reorder the terms: -16 + 6 + -8v + 3v = 7v + 8 Combine like terms: -16 + 6 = -10 -10 + -8v + 3v = 7v + 8 Combine like terms: -8v + 3v = -5v -10 + -5v = 7v + 8 Reorder the terms: -10 + -5v = 8 + 7v Solving -10 + -5v = 8 + 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. -10 + -5v + -7v = 8 + 7v + -7v Combine like terms: -5v + -7v = -12v -10 + -12v = 8 + 7v + -7v Combine like terms: 7v + -7v = 0 -10 + -12v = 8 + 0 -10 + -12v = 8 Add '10' to each side of the equation. -10 + 10 + -12v = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -12v = 8 + 10 -12v = 8 + 10 Combine like terms: 8 + 10 = 18 -12v = 18 Divide each side by '-12'. v = -1.5 Simplifying v = -1.5
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