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Simplifying (3p + -6) + -1(2p + 5) = 7 Reorder the terms: (-6 + 3p) + -1(2p + 5) = 7 Remove parenthesis around (-6 + 3p) -6 + 3p + -1(2p + 5) = 7 Reorder the terms: -6 + 3p + -1(5 + 2p) = 7 -6 + 3p + (5 * -1 + 2p * -1) = 7 -6 + 3p + (-5 + -2p) = 7 Reorder the terms: -6 + -5 + 3p + -2p = 7 Combine like terms: -6 + -5 = -11 -11 + 3p + -2p = 7 Combine like terms: 3p + -2p = 1p -11 + 1p = 7 Solving -11 + 1p = 7 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1p = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 1p = 7 + 11 1p = 7 + 11 Combine like terms: 7 + 11 = 18 1p = 18 Divide each side by '1'. p = 18 Simplifying p = 18
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