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Simplifying 2p + 4(p + 5) + -13 = 0 Reorder the terms: 2p + 4(5 + p) + -13 = 0 2p + (5 * 4 + p * 4) + -13 = 0 2p + (20 + 4p) + -13 = 0 Reorder the terms: 20 + -13 + 2p + 4p = 0 Combine like terms: 20 + -13 = 7 7 + 2p + 4p = 0 Combine like terms: 2p + 4p = 6p 7 + 6p = 0 Solving 7 + 6p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6p = 0 + -7 6p = 0 + -7 Combine like terms: 0 + -7 = -7 6p = -7 Divide each side by '6'. p = -1.166666667 Simplifying p = -1.166666667
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