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Simplifying 5(2v + 6) = -4(-5 + -2x) + 3x Reorder the terms: 5(6 + 2v) = -4(-5 + -2x) + 3x (6 * 5 + 2v * 5) = -4(-5 + -2x) + 3x (30 + 10v) = -4(-5 + -2x) + 3x 30 + 10v = (-5 * -4 + -2x * -4) + 3x 30 + 10v = (20 + 8x) + 3x Combine like terms: 8x + 3x = 11x 30 + 10v = 20 + 11x Solving 30 + 10v = 20 + 11x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 10v = 20 + -30 + 11x Combine like terms: 30 + -30 = 0 0 + 10v = 20 + -30 + 11x 10v = 20 + -30 + 11x Combine like terms: 20 + -30 = -10 10v = -10 + 11x Divide each side by '10'. v = -1 + 1.1x Simplifying v = -1 + 1.1x
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