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Simplifying 4(6x + 5) + -12v = 2(5x + 4) Reorder the terms: 4(5 + 6x) + -12v = 2(5x + 4) (5 * 4 + 6x * 4) + -12v = 2(5x + 4) (20 + 24x) + -12v = 2(5x + 4) Reorder the terms: 20 + -12v + 24x = 2(5x + 4) Reorder the terms: 20 + -12v + 24x = 2(4 + 5x) 20 + -12v + 24x = (4 * 2 + 5x * 2) 20 + -12v + 24x = (8 + 10x) Solving 20 + -12v + 24x = 8 + 10x 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 + -12v + -20 + 24x = 8 + -20 + 10x Reorder the terms: 20 + -20 + -12v + 24x = 8 + -20 + 10x Combine like terms: 20 + -20 = 0 0 + -12v + 24x = 8 + -20 + 10x -12v + 24x = 8 + -20 + 10x Combine like terms: 8 + -20 = -12 -12v + 24x = -12 + 10x Add '-24x' to each side of the equation. -12v + 24x + -24x = -12 + 10x + -24x Combine like terms: 24x + -24x = 0 -12v + 0 = -12 + 10x + -24x -12v = -12 + 10x + -24x Combine like terms: 10x + -24x = -14x -12v = -12 + -14x Divide each side by '-12'. v = 1 + 1.166666667x Simplifying v = 1 + 1.166666667x
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