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Simplifying -9(v + 2) + 4v + 7 = 7v + 7 Reorder the terms: -9(2 + v) + 4v + 7 = 7v + 7 (2 * -9 + v * -9) + 4v + 7 = 7v + 7 (-18 + -9v) + 4v + 7 = 7v + 7 Reorder the terms: -18 + 7 + -9v + 4v = 7v + 7 Combine like terms: -18 + 7 = -11 -11 + -9v + 4v = 7v + 7 Combine like terms: -9v + 4v = -5v -11 + -5v = 7v + 7 Reorder the terms: -11 + -5v = 7 + 7v Solving -11 + -5v = 7 + 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. -11 + -5v + -7v = 7 + 7v + -7v Combine like terms: -5v + -7v = -12v -11 + -12v = 7 + 7v + -7v Combine like terms: 7v + -7v = 0 -11 + -12v = 7 + 0 -11 + -12v = 7 Add '11' to each side of the equation. -11 + 11 + -12v = 7 + 11 Combine like terms: -11 + 11 = 0 0 + -12v = 7 + 11 -12v = 7 + 11 Combine like terms: 7 + 11 = 18 -12v = 18 Divide each side by '-12'. v = -1.5 Simplifying v = -1.5
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