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Simplifying -8(v + 2) + 4v + 7 = 7v + 10 Reorder the terms: -8(2 + v) + 4v + 7 = 7v + 10 (2 * -8 + v * -8) + 4v + 7 = 7v + 10 (-16 + -8v) + 4v + 7 = 7v + 10 Reorder the terms: -16 + 7 + -8v + 4v = 7v + 10 Combine like terms: -16 + 7 = -9 -9 + -8v + 4v = 7v + 10 Combine like terms: -8v + 4v = -4v -9 + -4v = 7v + 10 Reorder the terms: -9 + -4v = 10 + 7v Solving -9 + -4v = 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. -9 + -4v + -7v = 10 + 7v + -7v Combine like terms: -4v + -7v = -11v -9 + -11v = 10 + 7v + -7v Combine like terms: 7v + -7v = 0 -9 + -11v = 10 + 0 -9 + -11v = 10 Add '9' to each side of the equation. -9 + 9 + -11v = 10 + 9 Combine like terms: -9 + 9 = 0 0 + -11v = 10 + 9 -11v = 10 + 9 Combine like terms: 10 + 9 = 19 -11v = 19 Divide each side by '-11'. v = -1.727272727 Simplifying v = -1.727272727
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