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Simplifying 2x(3 + 4a) = -16x + 6x (3 * 2x + 4a * 2x) = -16x + 6x Reorder the terms: (8ax + 6x) = -16x + 6x (8ax + 6x) = -16x + 6x Combine like terms: -16x + 6x = -10x 8ax + 6x = -10x Solving 8ax + 6x = -10x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6x' to each side of the equation. 8ax + 6x + -6x = -10x + -6x Combine like terms: 6x + -6x = 0 8ax + 0 = -10x + -6x 8ax = -10x + -6x Combine like terms: -10x + -6x = -16x 8ax = -16x Divide each side by '8x'. a = -2 Simplifying a = -2
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