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Simplifying 7p + -1(2p + 18) = 2 + -1(5p + -3) Reorder the terms: 7p + -1(18 + 2p) = 2 + -1(5p + -3) 7p + (18 * -1 + 2p * -1) = 2 + -1(5p + -3) 7p + (-18 + -2p) = 2 + -1(5p + -3) Reorder the terms: -18 + 7p + -2p = 2 + -1(5p + -3) Combine like terms: 7p + -2p = 5p -18 + 5p = 2 + -1(5p + -3) Reorder the terms: -18 + 5p = 2 + -1(-3 + 5p) -18 + 5p = 2 + (-3 * -1 + 5p * -1) -18 + 5p = 2 + (3 + -5p) Combine like terms: 2 + 3 = 5 -18 + 5p = 5 + -5p Solving -18 + 5p = 5 + -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. -18 + 5p + 5p = 5 + -5p + 5p Combine like terms: 5p + 5p = 10p -18 + 10p = 5 + -5p + 5p Combine like terms: -5p + 5p = 0 -18 + 10p = 5 + 0 -18 + 10p = 5 Add '18' to each side of the equation. -18 + 18 + 10p = 5 + 18 Combine like terms: -18 + 18 = 0 0 + 10p = 5 + 18 10p = 5 + 18 Combine like terms: 5 + 18 = 23 10p = 23 Divide each side by '10'. p = 2.3 Simplifying p = 2.3
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