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Simplifying 7(2p + 1) + 3(p + -2) = 69 Reorder the terms: 7(1 + 2p) + 3(p + -2) = 69 (1 * 7 + 2p * 7) + 3(p + -2) = 69 (7 + 14p) + 3(p + -2) = 69 Reorder the terms: 7 + 14p + 3(-2 + p) = 69 7 + 14p + (-2 * 3 + p * 3) = 69 7 + 14p + (-6 + 3p) = 69 Reorder the terms: 7 + -6 + 14p + 3p = 69 Combine like terms: 7 + -6 = 1 1 + 14p + 3p = 69 Combine like terms: 14p + 3p = 17p 1 + 17p = 69 Solving 1 + 17p = 69 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 17p = 69 + -1 Combine like terms: 1 + -1 = 0 0 + 17p = 69 + -1 17p = 69 + -1 Combine like terms: 69 + -1 = 68 17p = 68 Divide each side by '17'. p = 4 Simplifying p = 4
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