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Simplifying -8(v + 2) + 4v + 5 = 7v + 12 Reorder the terms: -8(2 + v) + 4v + 5 = 7v + 12 (2 * -8 + v * -8) + 4v + 5 = 7v + 12 (-16 + -8v) + 4v + 5 = 7v + 12 Reorder the terms: -16 + 5 + -8v + 4v = 7v + 12 Combine like terms: -16 + 5 = -11 -11 + -8v + 4v = 7v + 12 Combine like terms: -8v + 4v = -4v -11 + -4v = 7v + 12 Reorder the terms: -11 + -4v = 12 + 7v Solving -11 + -4v = 12 + 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 + -4v + -7v = 12 + 7v + -7v Combine like terms: -4v + -7v = -11v -11 + -11v = 12 + 7v + -7v Combine like terms: 7v + -7v = 0 -11 + -11v = 12 + 0 -11 + -11v = 12 Add '11' to each side of the equation. -11 + 11 + -11v = 12 + 11 Combine like terms: -11 + 11 = 0 0 + -11v = 12 + 11 -11v = 12 + 11 Combine like terms: 12 + 11 = 23 -11v = 23 Divide each side by '-11'. v = -2.090909091 Simplifying v = -2.090909091
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