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Simplifying 3x(8 + -10) + 2(v + -2) = 10x + -3x + -8x Combine like terms: 8 + -10 = -2 3x(-2) + 2(v + -2) = 10x + -3x + -8x Reorder the terms for easier multiplication: 3 * -2x + 2(v + -2) = 10x + -3x + -8x Multiply 3 * -2 -6x + 2(v + -2) = 10x + -3x + -8x Reorder the terms: -6x + 2(-2 + v) = 10x + -3x + -8x -6x + (-2 * 2 + v * 2) = 10x + -3x + -8x -6x + (-4 + 2v) = 10x + -3x + -8x Reorder the terms: -4 + 2v + -6x = 10x + -3x + -8x Combine like terms: 10x + -3x = 7x -4 + 2v + -6x = 7x + -8x Combine like terms: 7x + -8x = -1x -4 + 2v + -6x = -1x Solving -4 + 2v + -6x = -1x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2v + 4 + -6x = 4 + -1x Reorder the terms: -4 + 4 + 2v + -6x = 4 + -1x Combine like terms: -4 + 4 = 0 0 + 2v + -6x = 4 + -1x 2v + -6x = 4 + -1x Add '6x' to each side of the equation. 2v + -6x + 6x = 4 + -1x + 6x Combine like terms: -6x + 6x = 0 2v + 0 = 4 + -1x + 6x 2v = 4 + -1x + 6x Combine like terms: -1x + 6x = 5x 2v = 4 + 5x Divide each side by '2'. v = 2 + 2.5x Simplifying v = 2 + 2.5x
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