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Simplifying 3(4p + 3) + 4(p + -1) = 53 Reorder the terms: 3(3 + 4p) + 4(p + -1) = 53 (3 * 3 + 4p * 3) + 4(p + -1) = 53 (9 + 12p) + 4(p + -1) = 53 Reorder the terms: 9 + 12p + 4(-1 + p) = 53 9 + 12p + (-1 * 4 + p * 4) = 53 9 + 12p + (-4 + 4p) = 53 Reorder the terms: 9 + -4 + 12p + 4p = 53 Combine like terms: 9 + -4 = 5 5 + 12p + 4p = 53 Combine like terms: 12p + 4p = 16p 5 + 16p = 53 Solving 5 + 16p = 53 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 16p = 53 + -5 Combine like terms: 5 + -5 = 0 0 + 16p = 53 + -5 16p = 53 + -5 Combine like terms: 53 + -5 = 48 16p = 48 Divide each side by '16'. p = 3 Simplifying p = 3
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