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Simplifying 7(-7 + -5v) + -3(-7 + -3v) = 0 (-7 * 7 + -5v * 7) + -3(-7 + -3v) = 0 (-49 + -35v) + -3(-7 + -3v) = 0 -49 + -35v + (-7 * -3 + -3v * -3) = 0 -49 + -35v + (21 + 9v) = 0 Reorder the terms: -49 + 21 + -35v + 9v = 0 Combine like terms: -49 + 21 = -28 -28 + -35v + 9v = 0 Combine like terms: -35v + 9v = -26v -28 + -26v = 0 Solving -28 + -26v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -26v = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -26v = 0 + 28 -26v = 0 + 28 Combine like terms: 0 + 28 = 28 -26v = 28 Divide each side by '-26'. v = -1.076923077 Simplifying v = -1.076923077
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