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Simplifying 2(8v + -10) + -7(7 + 10v) = 0 Reorder the terms: 2(-10 + 8v) + -7(7 + 10v) = 0 (-10 * 2 + 8v * 2) + -7(7 + 10v) = 0 (-20 + 16v) + -7(7 + 10v) = 0 -20 + 16v + (7 * -7 + 10v * -7) = 0 -20 + 16v + (-49 + -70v) = 0 Reorder the terms: -20 + -49 + 16v + -70v = 0 Combine like terms: -20 + -49 = -69 -69 + 16v + -70v = 0 Combine like terms: 16v + -70v = -54v -69 + -54v = 0 Solving -69 + -54v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + -54v = 0 + 69 Combine like terms: -69 + 69 = 0 0 + -54v = 0 + 69 -54v = 0 + 69 Combine like terms: 0 + 69 = 69 -54v = 69 Divide each side by '-54'. v = -1.277777778 Simplifying v = -1.277777778
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