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Simplifying 6x[5 + -8v] + 12 = -54 [5 * 6x + -8v * 6x] + 12 = -54 Reorder the terms: [-48vx + 30x] + 12 = -54 [-48vx + 30x] + 12 = -54 Reorder the terms: 12 + -48vx + 30x = -54 Solving 12 + -48vx + 30x = -54 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -48vx + -12 + 30x = -54 + -12 Reorder the terms: 12 + -12 + -48vx + 30x = -54 + -12 Combine like terms: 12 + -12 = 0 0 + -48vx + 30x = -54 + -12 -48vx + 30x = -54 + -12 Combine like terms: -54 + -12 = -66 -48vx + 30x = -66 Add '-30x' to each side of the equation. -48vx + 30x + -30x = -66 + -30x Combine like terms: 30x + -30x = 0 -48vx + 0 = -66 + -30x -48vx = -66 + -30x Divide each side by '-48x'. v = 1.375x-1 + 0.625 Simplifying v = 1.375x-1 + 0.625 Reorder the terms: v = 0.625 + 1.375x-1
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