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Simplifying -9(v + 4) + 4v + 7 = 7v + 9 Reorder the terms: -9(4 + v) + 4v + 7 = 7v + 9 (4 * -9 + v * -9) + 4v + 7 = 7v + 9 (-36 + -9v) + 4v + 7 = 7v + 9 Reorder the terms: -36 + 7 + -9v + 4v = 7v + 9 Combine like terms: -36 + 7 = -29 -29 + -9v + 4v = 7v + 9 Combine like terms: -9v + 4v = -5v -29 + -5v = 7v + 9 Reorder the terms: -29 + -5v = 9 + 7v Solving -29 + -5v = 9 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -29 + -5v + -7v = 9 + 7v + -7v Combine like terms: -5v + -7v = -12v -29 + -12v = 9 + 7v + -7v Combine like terms: 7v + -7v = 0 -29 + -12v = 9 + 0 -29 + -12v = 9 Add '29' to each side of the equation. -29 + 29 + -12v = 9 + 29 Combine like terms: -29 + 29 = 0 0 + -12v = 9 + 29 -12v = 9 + 29 Combine like terms: 9 + 29 = 38 -12v = 38 Divide each side by '-12'. v = -3.166666667 Simplifying v = -3.166666667
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