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Simplifying [7v + -9] + -1[6v + 9] = 0 Reorder the terms: [-9 + 7v] + -1[6v + 9] = 0 Remove brackets 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 = 1v -18 + 1v = 0 Solving -18 + 1v = 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 + 1v = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1v = 0 + 18 1v = 0 + 18 Combine like terms: 0 + 18 = 18 1v = 18 Divide each side by '1'. v = 18 Simplifying v = 18
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