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Simplifying (-7v + -9) + -1(6v + 9) = 0 Reorder the terms: (-9 + -7v) + -1(6v + 9) = 0 Remove parenthesis around (-9 + -7v) -9 + -7v + -1(6v + 9) = 0 Reorder the terms: -9 + -7v + -1(9 + 6v) = 0 -9 + -7v + (9 * -1 + 6v * -1) = 0 -9 + -7v + (-9 + -6v) = 0 Reorder the terms: -9 + -9 + -7v + -6v = 0 Combine like terms: -9 + -9 = -18 -18 + -7v + -6v = 0 Combine like terms: -7v + -6v = -13v -18 + -13v = 0 Solving -18 + -13v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -13v = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -13v = 0 + 18 -13v = 0 + 18 Combine like terms: 0 + 18 = 18 -13v = 18 Divide each side by '-13'. v = -1.384615385 Simplifying v = -1.384615385
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