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Simplifying 5p + -3 = 2(p + 9) Reorder the terms: -3 + 5p = 2(p + 9) Reorder the terms: -3 + 5p = 2(9 + p) -3 + 5p = (9 * 2 + p * 2) -3 + 5p = (18 + 2p) Solving -3 + 5p = 18 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -3 + 5p + -2p = 18 + 2p + -2p Combine like terms: 5p + -2p = 3p -3 + 3p = 18 + 2p + -2p Combine like terms: 2p + -2p = 0 -3 + 3p = 18 + 0 -3 + 3p = 18 Add '3' to each side of the equation. -3 + 3 + 3p = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 3p = 18 + 3 3p = 18 + 3 Combine like terms: 18 + 3 = 21 3p = 21 Divide each side by '3'. p = 7 Simplifying p = 7
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