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Simplifying -7(4p + 2) + -39 = 3(2p + 5) Reorder the terms: -7(2 + 4p) + -39 = 3(2p + 5) (2 * -7 + 4p * -7) + -39 = 3(2p + 5) (-14 + -28p) + -39 = 3(2p + 5) Reorder the terms: -14 + -39 + -28p = 3(2p + 5) Combine like terms: -14 + -39 = -53 -53 + -28p = 3(2p + 5) Reorder the terms: -53 + -28p = 3(5 + 2p) -53 + -28p = (5 * 3 + 2p * 3) -53 + -28p = (15 + 6p) Solving -53 + -28p = 15 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -53 + -28p + -6p = 15 + 6p + -6p Combine like terms: -28p + -6p = -34p -53 + -34p = 15 + 6p + -6p Combine like terms: 6p + -6p = 0 -53 + -34p = 15 + 0 -53 + -34p = 15 Add '53' to each side of the equation. -53 + 53 + -34p = 15 + 53 Combine like terms: -53 + 53 = 0 0 + -34p = 15 + 53 -34p = 15 + 53 Combine like terms: 15 + 53 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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