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Simplifying 4(8 + -3v) + 2 = 106 (8 * 4 + -3v * 4) + 2 = 106 (32 + -12v) + 2 = 106 Reorder the terms: 32 + 2 + -12v = 106 Combine like terms: 32 + 2 = 34 34 + -12v = 106 Solving 34 + -12v = 106 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -12v = 106 + -34 Combine like terms: 34 + -34 = 0 0 + -12v = 106 + -34 -12v = 106 + -34 Combine like terms: 106 + -34 = 72 -12v = 72 Divide each side by '-12'. v = -6 Simplifying v = -6
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