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Simplifying -7(v + 6) + -4(v + -9) = 0 Reorder the terms: -7(6 + v) + -4(v + -9) = 0 (6 * -7 + v * -7) + -4(v + -9) = 0 (-42 + -7v) + -4(v + -9) = 0 Reorder the terms: -42 + -7v + -4(-9 + v) = 0 -42 + -7v + (-9 * -4 + v * -4) = 0 -42 + -7v + (36 + -4v) = 0 Reorder the terms: -42 + 36 + -7v + -4v = 0 Combine like terms: -42 + 36 = -6 -6 + -7v + -4v = 0 Combine like terms: -7v + -4v = -11v -6 + -11v = 0 Solving -6 + -11v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -11v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -11v = 0 + 6 -11v = 0 + 6 Combine like terms: 0 + 6 = 6 -11v = 6 Divide each side by '-11'. v = -0.5454545455 Simplifying v = -0.5454545455
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