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Simplifying -8(v + 3) + 4v + 5 = 7v + 12 Reorder the terms: -8(3 + v) + 4v + 5 = 7v + 12 (3 * -8 + v * -8) + 4v + 5 = 7v + 12 (-24 + -8v) + 4v + 5 = 7v + 12 Reorder the terms: -24 + 5 + -8v + 4v = 7v + 12 Combine like terms: -24 + 5 = -19 -19 + -8v + 4v = 7v + 12 Combine like terms: -8v + 4v = -4v -19 + -4v = 7v + 12 Reorder the terms: -19 + -4v = 12 + 7v Solving -19 + -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. -19 + -4v + -7v = 12 + 7v + -7v Combine like terms: -4v + -7v = -11v -19 + -11v = 12 + 7v + -7v Combine like terms: 7v + -7v = 0 -19 + -11v = 12 + 0 -19 + -11v = 12 Add '19' to each side of the equation. -19 + 19 + -11v = 12 + 19 Combine like terms: -19 + 19 = 0 0 + -11v = 12 + 19 -11v = 12 + 19 Combine like terms: 12 + 19 = 31 -11v = 31 Divide each side by '-11'. v = -2.818181818 Simplifying v = -2.818181818
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