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Simplifying 21 = 2x(4a + 2) Reorder the terms: 21 = 2x(2 + 4a) 21 = (2 * 2x + 4a * 2x) Reorder the terms: 21 = (8ax + 4x) 21 = (8ax + 4x) Solving 21 = 8ax + 4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8ax' to each side of the equation. 21 + -8ax = 8ax + -8ax + 4x Combine like terms: 8ax + -8ax = 0 21 + -8ax = 0 + 4x 21 + -8ax = 4x Add '-21' to each side of the equation. 21 + -21 + -8ax = -21 + 4x Combine like terms: 21 + -21 = 0 0 + -8ax = -21 + 4x -8ax = -21 + 4x Divide each side by '-8x'. a = 2.625x-1 + -0.5 Simplifying a = 2.625x-1 + -0.5 Reorder the terms: a = -0.5 + 2.625x-1
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