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Simplifying 2x(5a + 3b + -8x) = 0 (5a * 2x + 3b * 2x + -8x * 2x) = 0 (10ax + 6bx + -16x2) = 0 Solving 10ax + 6bx + -16x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6bx' to each side of the equation. 10ax + 6bx + -6bx + -16x2 = 0 + -6bx Combine like terms: 6bx + -6bx = 0 10ax + 0 + -16x2 = 0 + -6bx 10ax + -16x2 = 0 + -6bx Remove the zero: 10ax + -16x2 = -6bx Add '16x2' to each side of the equation. 10ax + -16x2 + 16x2 = -6bx + 16x2 Combine like terms: -16x2 + 16x2 = 0 10ax + 0 = -6bx + 16x2 10ax = -6bx + 16x2 Divide each side by '10x'. a = -0.6b + 1.6x Simplifying a = -0.6b + 1.6x
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