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Simplifying -2(8v + 6) = 28 + -6v Reorder the terms: -2(6 + 8v) = 28 + -6v (6 * -2 + 8v * -2) = 28 + -6v (-12 + -16v) = 28 + -6v Solving -12 + -16v = 28 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -12 + -16v + 6v = 28 + -6v + 6v Combine like terms: -16v + 6v = -10v -12 + -10v = 28 + -6v + 6v Combine like terms: -6v + 6v = 0 -12 + -10v = 28 + 0 -12 + -10v = 28 Add '12' to each side of the equation. -12 + 12 + -10v = 28 + 12 Combine like terms: -12 + 12 = 0 0 + -10v = 28 + 12 -10v = 28 + 12 Combine like terms: 28 + 12 = 40 -10v = 40 Divide each side by '-10'. v = -4 Simplifying v = -4
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