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Simplifying 2(5 + -3x) + 9v = 0 (5 * 2 + -3x * 2) + 9v = 0 (10 + -6x) + 9v = 0 Reorder the terms: 10 + 9v + -6x = 0 Solving 10 + 9v + -6x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 9v + -10 + -6x = 0 + -10 Reorder the terms: 10 + -10 + 9v + -6x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9v + -6x = 0 + -10 9v + -6x = 0 + -10 Combine like terms: 0 + -10 = -10 9v + -6x = -10 Add '6x' to each side of the equation. 9v + -6x + 6x = -10 + 6x Combine like terms: -6x + 6x = 0 9v + 0 = -10 + 6x 9v = -10 + 6x Divide each side by '9'. v = -1.111111111 + 0.6666666667x Simplifying v = -1.111111111 + 0.6666666667x
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