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Simplifying 7(p + -6) + 12 = 5p Reorder the terms: 7(-6 + p) + 12 = 5p (-6 * 7 + p * 7) + 12 = 5p (-42 + 7p) + 12 = 5p Reorder the terms: -42 + 12 + 7p = 5p Combine like terms: -42 + 12 = -30 -30 + 7p = 5p Solving -30 + 7p = 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. -30 + 7p + -5p = 5p + -5p Combine like terms: 7p + -5p = 2p -30 + 2p = 5p + -5p Combine like terms: 5p + -5p = 0 -30 + 2p = 0 Add '30' to each side of the equation. -30 + 30 + 2p = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = 0 + 30 2p = 0 + 30 Combine like terms: 0 + 30 = 30 2p = 30 Divide each side by '2'. p = 15 Simplifying p = 15
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