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Simplifying -9 + -6(-1v + 5) + -10(-8x + 9) + -8x = 0 Reorder the terms: -9 + -6(5 + -1v) + -10(-8x + 9) + -8x = 0 -9 + (5 * -6 + -1v * -6) + -10(-8x + 9) + -8x = 0 -9 + (-30 + 6v) + -10(-8x + 9) + -8x = 0 Reorder the terms: -9 + -30 + 6v + -10(9 + -8x) + -8x = 0 -9 + -30 + 6v + (9 * -10 + -8x * -10) + -8x = 0 -9 + -30 + 6v + (-90 + 80x) + -8x = 0 Reorder the terms: -9 + -30 + -90 + 6v + 80x + -8x = 0 Combine like terms: -9 + -30 = -39 -39 + -90 + 6v + 80x + -8x = 0 Combine like terms: -39 + -90 = -129 -129 + 6v + 80x + -8x = 0 Combine like terms: 80x + -8x = 72x -129 + 6v + 72x = 0 Solving -129 + 6v + 72x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '129' to each side of the equation. -129 + 6v + 129 + 72x = 0 + 129 Reorder the terms: -129 + 129 + 6v + 72x = 0 + 129 Combine like terms: -129 + 129 = 0 0 + 6v + 72x = 0 + 129 6v + 72x = 0 + 129 Combine like terms: 0 + 129 = 129 6v + 72x = 129 Add '-72x' to each side of the equation. 6v + 72x + -72x = 129 + -72x Combine like terms: 72x + -72x = 0 6v + 0 = 129 + -72x 6v = 129 + -72x Divide each side by '6'. v = 21.5 + -12x Simplifying v = 21.5 + -12x
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