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Simplifying 5(4 + 6v) = -4(-9v + 8) + -2 (4 * 5 + 6v * 5) = -4(-9v + 8) + -2 (20 + 30v) = -4(-9v + 8) + -2 Reorder the terms: 20 + 30v = -4(8 + -9v) + -2 20 + 30v = (8 * -4 + -9v * -4) + -2 20 + 30v = (-32 + 36v) + -2 Reorder the terms: 20 + 30v = -32 + -2 + 36v Combine like terms: -32 + -2 = -34 20 + 30v = -34 + 36v Solving 20 + 30v = -34 + 36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36v' to each side of the equation. 20 + 30v + -36v = -34 + 36v + -36v Combine like terms: 30v + -36v = -6v 20 + -6v = -34 + 36v + -36v Combine like terms: 36v + -36v = 0 20 + -6v = -34 + 0 20 + -6v = -34 Add '-20' to each side of the equation. 20 + -20 + -6v = -34 + -20 Combine like terms: 20 + -20 = 0 0 + -6v = -34 + -20 -6v = -34 + -20 Combine like terms: -34 + -20 = -54 -6v = -54 Divide each side by '-6'. v = 9 Simplifying v = 9
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