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Simplifying -7(2v + -3) + 9v = 4(v + 9) Reorder the terms: -7(-3 + 2v) + 9v = 4(v + 9) (-3 * -7 + 2v * -7) + 9v = 4(v + 9) (21 + -14v) + 9v = 4(v + 9) Combine like terms: -14v + 9v = -5v 21 + -5v = 4(v + 9) Reorder the terms: 21 + -5v = 4(9 + v) 21 + -5v = (9 * 4 + v * 4) 21 + -5v = (36 + 4v) Solving 21 + -5v = 36 + 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. 21 + -5v + -4v = 36 + 4v + -4v Combine like terms: -5v + -4v = -9v 21 + -9v = 36 + 4v + -4v Combine like terms: 4v + -4v = 0 21 + -9v = 36 + 0 21 + -9v = 36 Add '-21' to each side of the equation. 21 + -21 + -9v = 36 + -21 Combine like terms: 21 + -21 = 0 0 + -9v = 36 + -21 -9v = 36 + -21 Combine like terms: 36 + -21 = 15 -9v = 15 Divide each side by '-9'. v = -1.666666667 Simplifying v = -1.666666667
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