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Simplifying 7(1 + 3p) + -2p = 3p + 39 (1 * 7 + 3p * 7) + -2p = 3p + 39 (7 + 21p) + -2p = 3p + 39 Combine like terms: 21p + -2p = 19p 7 + 19p = 3p + 39 Reorder the terms: 7 + 19p = 39 + 3p Solving 7 + 19p = 39 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 7 + 19p + -3p = 39 + 3p + -3p Combine like terms: 19p + -3p = 16p 7 + 16p = 39 + 3p + -3p Combine like terms: 3p + -3p = 0 7 + 16p = 39 + 0 7 + 16p = 39 Add '-7' to each side of the equation. 7 + -7 + 16p = 39 + -7 Combine like terms: 7 + -7 = 0 0 + 16p = 39 + -7 16p = 39 + -7 Combine like terms: 39 + -7 = 32 16p = 32 Divide each side by '16'. p = 2 Simplifying p = 2
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