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Simplifying 7p(3 + 4) = -2(2p + -1) + 10 Combine like terms: 3 + 4 = 7 7p(7) = -2(2p + -1) + 10 Reorder the terms for easier multiplication: 7 * 7p = -2(2p + -1) + 10 Multiply 7 * 7 49p = -2(2p + -1) + 10 Reorder the terms: 49p = -2(-1 + 2p) + 10 49p = (-1 * -2 + 2p * -2) + 10 49p = (2 + -4p) + 10 Reorder the terms: 49p = 2 + 10 + -4p Combine like terms: 2 + 10 = 12 49p = 12 + -4p Solving 49p = 12 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 49p + 4p = 12 + -4p + 4p Combine like terms: 49p + 4p = 53p 53p = 12 + -4p + 4p Combine like terms: -4p + 4p = 0 53p = 12 + 0 53p = 12 Divide each side by '53'. p = 0.2264150943 Simplifying p = 0.2264150943
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