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Simplifying -54 = 2(p + 6) + -7(p + 8) Reorder the terms: -54 = 2(6 + p) + -7(p + 8) -54 = (6 * 2 + p * 2) + -7(p + 8) -54 = (12 + 2p) + -7(p + 8) Reorder the terms: -54 = 12 + 2p + -7(8 + p) -54 = 12 + 2p + (8 * -7 + p * -7) -54 = 12 + 2p + (-56 + -7p) Reorder the terms: -54 = 12 + -56 + 2p + -7p Combine like terms: 12 + -56 = -44 -54 = -44 + 2p + -7p Combine like terms: 2p + -7p = -5p -54 = -44 + -5p Solving -54 = -44 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -54 + 5p = -44 + -5p + 5p Combine like terms: -5p + 5p = 0 -54 + 5p = -44 + 0 -54 + 5p = -44 Add '54' to each side of the equation. -54 + 54 + 5p = -44 + 54 Combine like terms: -54 + 54 = 0 0 + 5p = -44 + 54 5p = -44 + 54 Combine like terms: -44 + 54 = 10 5p = 10 Divide each side by '5'. p = 2 Simplifying p = 2
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