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Simplifying -9(v + 4) + 4v + 6 = 7v + 10 Reorder the terms: -9(4 + v) + 4v + 6 = 7v + 10 (4 * -9 + v * -9) + 4v + 6 = 7v + 10 (-36 + -9v) + 4v + 6 = 7v + 10 Reorder the terms: -36 + 6 + -9v + 4v = 7v + 10 Combine like terms: -36 + 6 = -30 -30 + -9v + 4v = 7v + 10 Combine like terms: -9v + 4v = -5v -30 + -5v = 7v + 10 Reorder the terms: -30 + -5v = 10 + 7v Solving -30 + -5v = 10 + 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 + -5v + -7v = 10 + 7v + -7v Combine like terms: -5v + -7v = -12v -30 + -12v = 10 + 7v + -7v Combine like terms: 7v + -7v = 0 -30 + -12v = 10 + 0 -30 + -12v = 10 Add '30' to each side of the equation. -30 + 30 + -12v = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -12v = 10 + 30 -12v = 10 + 30 Combine like terms: 10 + 30 = 40 -12v = 40 Divide each side by '-12'. v = -3.333333333 Simplifying v = -3.333333333
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