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Simplifying 2x(4p + 3) = 38 Reorder the terms: 2x(3 + 4p) = 38 (3 * 2x + 4p * 2x) = 38 Reorder the terms: (8px + 6x) = 38 (8px + 6x) = 38 Solving 8px + 6x = 38 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6x' to each side of the equation. 8px + 6x + -6x = 38 + -6x Combine like terms: 6x + -6x = 0 8px + 0 = 38 + -6x 8px = 38 + -6x Divide each side by '8x'. p = 4.75x-1 + -0.75 Simplifying p = 4.75x-1 + -0.75 Reorder the terms: p = -0.75 + 4.75x-1
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