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Simplifying 4(2x + 5) + 9v = 36 Reorder the terms: 4(5 + 2x) + 9v = 36 (5 * 4 + 2x * 4) + 9v = 36 (20 + 8x) + 9v = 36 Reorder the terms: 20 + 9v + 8x = 36 Solving 20 + 9v + 8x = 36 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 9v + -20 + 8x = 36 + -20 Reorder the terms: 20 + -20 + 9v + 8x = 36 + -20 Combine like terms: 20 + -20 = 0 0 + 9v + 8x = 36 + -20 9v + 8x = 36 + -20 Combine like terms: 36 + -20 = 16 9v + 8x = 16 Add '-8x' to each side of the equation. 9v + 8x + -8x = 16 + -8x Combine like terms: 8x + -8x = 0 9v + 0 = 16 + -8x 9v = 16 + -8x Divide each side by '9'. v = 1.777777778 + -0.8888888889x Simplifying v = 1.777777778 + -0.8888888889x
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