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Simplifying 4(7 + -3v) = -12 + 8 (7 * 4 + -3v * 4) = -12 + 8 (28 + -12v) = -12 + 8 Combine like terms: -12 + 8 = -4 28 + -12v = -4 Solving 28 + -12v = -4 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -12v = -4 + -28 Combine like terms: 28 + -28 = 0 0 + -12v = -4 + -28 -12v = -4 + -28 Combine like terms: -4 + -28 = -32 -12v = -32 Divide each side by '-12'. v = 2.666666667 Simplifying v = 2.666666667
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