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Simplifying 5(p + 6) + -7(3 + p) = 5 Reorder the terms: 5(6 + p) + -7(3 + p) = 5 (6 * 5 + p * 5) + -7(3 + p) = 5 (30 + 5p) + -7(3 + p) = 5 30 + 5p + (3 * -7 + p * -7) = 5 30 + 5p + (-21 + -7p) = 5 Reorder the terms: 30 + -21 + 5p + -7p = 5 Combine like terms: 30 + -21 = 9 9 + 5p + -7p = 5 Combine like terms: 5p + -7p = -2p 9 + -2p = 5 Solving 9 + -2p = 5 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2p = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -2p = 5 + -9 -2p = 5 + -9 Combine like terms: 5 + -9 = -4 -2p = -4 Divide each side by '-2'. p = 2 Simplifying p = 2
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