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Simplifying 4(1 + 8p) + 5(7p + 2) = -53 (1 * 4 + 8p * 4) + 5(7p + 2) = -53 (4 + 32p) + 5(7p + 2) = -53 Reorder the terms: 4 + 32p + 5(2 + 7p) = -53 4 + 32p + (2 * 5 + 7p * 5) = -53 4 + 32p + (10 + 35p) = -53 Reorder the terms: 4 + 10 + 32p + 35p = -53 Combine like terms: 4 + 10 = 14 14 + 32p + 35p = -53 Combine like terms: 32p + 35p = 67p 14 + 67p = -53 Solving 14 + 67p = -53 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 67p = -53 + -14 Combine like terms: 14 + -14 = 0 0 + 67p = -53 + -14 67p = -53 + -14 Combine like terms: -53 + -14 = -67 67p = -67 Divide each side by '67'. p = -1 Simplifying p = -1
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