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Simplifying 21 + 6v = -4(9v + 7) Reorder the terms: 21 + 6v = -4(7 + 9v) 21 + 6v = (7 * -4 + 9v * -4) 21 + 6v = (-28 + -36v) Solving 21 + 6v = -28 + -36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '36v' to each side of the equation. 21 + 6v + 36v = -28 + -36v + 36v Combine like terms: 6v + 36v = 42v 21 + 42v = -28 + -36v + 36v Combine like terms: -36v + 36v = 0 21 + 42v = -28 + 0 21 + 42v = -28 Add '-21' to each side of the equation. 21 + -21 + 42v = -28 + -21 Combine like terms: 21 + -21 = 0 0 + 42v = -28 + -21 42v = -28 + -21 Combine like terms: -28 + -21 = -49 42v = -49 Divide each side by '42'. v = -1.166666667 Simplifying v = -1.166666667
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