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Simplifying 0.25(16p + 4) = 8p + 9 Reorder the terms: 0.25(4 + 16p) = 8p + 9 (4 * 0.25 + 16p * 0.25) = 8p + 9 (1 + 4p) = 8p + 9 Reorder the terms: 1 + 4p = 9 + 8p Solving 1 + 4p = 9 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 1 + 4p + -8p = 9 + 8p + -8p Combine like terms: 4p + -8p = -4p 1 + -4p = 9 + 8p + -8p Combine like terms: 8p + -8p = 0 1 + -4p = 9 + 0 1 + -4p = 9 Add '-1' to each side of the equation. 1 + -1 + -4p = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -4p = 9 + -1 -4p = 9 + -1 Combine like terms: 9 + -1 = 8 -4p = 8 Divide each side by '-4'. p = -2 Simplifying p = -2
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