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Simplifying -9(v + 4) + 2v + 6 = 7v + 7 Reorder the terms: -9(4 + v) + 2v + 6 = 7v + 7 (4 * -9 + v * -9) + 2v + 6 = 7v + 7 (-36 + -9v) + 2v + 6 = 7v + 7 Reorder the terms: -36 + 6 + -9v + 2v = 7v + 7 Combine like terms: -36 + 6 = -30 -30 + -9v + 2v = 7v + 7 Combine like terms: -9v + 2v = -7v -30 + -7v = 7v + 7 Reorder the terms: -30 + -7v = 7 + 7v Solving -30 + -7v = 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. -30 + -7v + -7v = 7 + 7v + -7v Combine like terms: -7v + -7v = -14v -30 + -14v = 7 + 7v + -7v Combine like terms: 7v + -7v = 0 -30 + -14v = 7 + 0 -30 + -14v = 7 Add '30' to each side of the equation. -30 + 30 + -14v = 7 + 30 Combine like terms: -30 + 30 = 0 0 + -14v = 7 + 30 -14v = 7 + 30 Combine like terms: 7 + 30 = 37 -14v = 37 Divide each side by '-14'. v = -2.642857143 Simplifying v = -2.642857143
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