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Simplifying -8(v + 2) + 4v + 6 = 7v + 6 Reorder the terms: -8(2 + v) + 4v + 6 = 7v + 6 (2 * -8 + v * -8) + 4v + 6 = 7v + 6 (-16 + -8v) + 4v + 6 = 7v + 6 Reorder the terms: -16 + 6 + -8v + 4v = 7v + 6 Combine like terms: -16 + 6 = -10 -10 + -8v + 4v = 7v + 6 Combine like terms: -8v + 4v = -4v -10 + -4v = 7v + 6 Reorder the terms: -10 + -4v = 6 + 7v Solving -10 + -4v = 6 + 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. -10 + -4v + -7v = 6 + 7v + -7v Combine like terms: -4v + -7v = -11v -10 + -11v = 6 + 7v + -7v Combine like terms: 7v + -7v = 0 -10 + -11v = 6 + 0 -10 + -11v = 6 Add '10' to each side of the equation. -10 + 10 + -11v = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -11v = 6 + 10 -11v = 6 + 10 Combine like terms: 6 + 10 = 16 -11v = 16 Divide each side by '-11'. v = -1.454545455 Simplifying v = -1.454545455
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