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Simplifying 6(v + -6) + 2(5v + -4) = -28 Reorder the terms: 6(-6 + v) + 2(5v + -4) = -28 (-6 * 6 + v * 6) + 2(5v + -4) = -28 (-36 + 6v) + 2(5v + -4) = -28 Reorder the terms: -36 + 6v + 2(-4 + 5v) = -28 -36 + 6v + (-4 * 2 + 5v * 2) = -28 -36 + 6v + (-8 + 10v) = -28 Reorder the terms: -36 + -8 + 6v + 10v = -28 Combine like terms: -36 + -8 = -44 -44 + 6v + 10v = -28 Combine like terms: 6v + 10v = 16v -44 + 16v = -28 Solving -44 + 16v = -28 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 16v = -28 + 44 Combine like terms: -44 + 44 = 0 0 + 16v = -28 + 44 16v = -28 + 44 Combine like terms: -28 + 44 = 16 16v = 16 Divide each side by '16'. v = 1 Simplifying v = 1
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