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Simplifying 5(7 + 2p) + -4(3 + -1p) = 23 (7 * 5 + 2p * 5) + -4(3 + -1p) = 23 (35 + 10p) + -4(3 + -1p) = 23 35 + 10p + (3 * -4 + -1p * -4) = 23 35 + 10p + (-12 + 4p) = 23 Reorder the terms: 35 + -12 + 10p + 4p = 23 Combine like terms: 35 + -12 = 23 23 + 10p + 4p = 23 Combine like terms: 10p + 4p = 14p 23 + 14p = 23 Add '-23' to each side of the equation. 23 + -23 + 14p = 23 + -23 Combine like terms: 23 + -23 = 0 0 + 14p = 23 + -23 14p = 23 + -23 Combine like terms: 23 + -23 = 0 14p = 0 Solving 14p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by '14'. p = 0 Simplifying p = 0
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