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Simplifying 8 + -3(4v + 1) = 21 + 4v Reorder the terms: 8 + -3(1 + 4v) = 21 + 4v 8 + (1 * -3 + 4v * -3) = 21 + 4v 8 + (-3 + -12v) = 21 + 4v Combine like terms: 8 + -3 = 5 5 + -12v = 21 + 4v Solving 5 + -12v = 21 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 5 + -12v + -4v = 21 + 4v + -4v Combine like terms: -12v + -4v = -16v 5 + -16v = 21 + 4v + -4v Combine like terms: 4v + -4v = 0 5 + -16v = 21 + 0 5 + -16v = 21 Add '-5' to each side of the equation. 5 + -5 + -16v = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -16v = 21 + -5 -16v = 21 + -5 Combine like terms: 21 + -5 = 16 -16v = 16 Divide each side by '-16'. v = -1 Simplifying v = -1
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