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Simplifying -11(10v + 4) + 10(4v + -2) = 76 Reorder the terms: -11(4 + 10v) + 10(4v + -2) = 76 (4 * -11 + 10v * -11) + 10(4v + -2) = 76 (-44 + -110v) + 10(4v + -2) = 76 Reorder the terms: -44 + -110v + 10(-2 + 4v) = 76 -44 + -110v + (-2 * 10 + 4v * 10) = 76 -44 + -110v + (-20 + 40v) = 76 Reorder the terms: -44 + -20 + -110v + 40v = 76 Combine like terms: -44 + -20 = -64 -64 + -110v + 40v = 76 Combine like terms: -110v + 40v = -70v -64 + -70v = 76 Solving -64 + -70v = 76 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -70v = 76 + 64 Combine like terms: -64 + 64 = 0 0 + -70v = 76 + 64 -70v = 76 + 64 Combine like terms: 76 + 64 = 140 -70v = 140 Divide each side by '-70'. v = -2 Simplifying v = -2
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