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Simplifying 9(3 + -1v) + -10(2 + -1v) = 0 (3 * 9 + -1v * 9) + -10(2 + -1v) = 0 (27 + -9v) + -10(2 + -1v) = 0 27 + -9v + (2 * -10 + -1v * -10) = 0 27 + -9v + (-20 + 10v) = 0 Reorder the terms: 27 + -20 + -9v + 10v = 0 Combine like terms: 27 + -20 = 7 7 + -9v + 10v = 0 Combine like terms: -9v + 10v = 1v 7 + 1v = 0 Solving 7 + 1v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1v = 0 + -7 1v = 0 + -7 Combine like terms: 0 + -7 = -7 1v = -7 Divide each side by '1'. v = -7 Simplifying v = -7
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