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Simplifying -2p + 3(1 + 7p) = 117 -2p + (1 * 3 + 7p * 3) = 117 -2p + (3 + 21p) = 117 Reorder the terms: 3 + -2p + 21p = 117 Combine like terms: -2p + 21p = 19p 3 + 19p = 117 Solving 3 + 19p = 117 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 19p = 117 + -3 Combine like terms: 3 + -3 = 0 0 + 19p = 117 + -3 19p = 117 + -3 Combine like terms: 117 + -3 = 114 19p = 114 Divide each side by '19'. p = 6 Simplifying p = 6
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