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Simplifying 5x + -2(4 + -2p) = 19 5x + (4 * -2 + -2p * -2) = 19 5x + (-8 + 4p) = 19 Reorder the terms: -8 + 4p + 5x = 19 Solving -8 + 4p + 5x = 19 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4p + 8 + 5x = 19 + 8 Reorder the terms: -8 + 8 + 4p + 5x = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 4p + 5x = 19 + 8 4p + 5x = 19 + 8 Combine like terms: 19 + 8 = 27 4p + 5x = 27 Add '-5x' to each side of the equation. 4p + 5x + -5x = 27 + -5x Combine like terms: 5x + -5x = 0 4p + 0 = 27 + -5x 4p = 27 + -5x Divide each side by '4'. p = 6.75 + -1.25x Simplifying p = 6.75 + -1.25x
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