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Simplifying 5(2p + 5) + 4(2p + -3) * 6 = 0 Reorder the terms: 5(5 + 2p) + 4(2p + -3) * 6 = 0 (5 * 5 + 2p * 5) + 4(2p + -3) * 6 = 0 (25 + 10p) + 4(2p + -3) * 6 = 0 Reorder the terms: 25 + 10p + 4(-3 + 2p) * 6 = 0 Reorder the terms for easier multiplication: 25 + 10p + 4 * 6(-3 + 2p) = 0 Multiply 4 * 6 25 + 10p + 24(-3 + 2p) = 0 25 + 10p + (-3 * 24 + 2p * 24) = 0 25 + 10p + (-72 + 48p) = 0 Reorder the terms: 25 + -72 + 10p + 48p = 0 Combine like terms: 25 + -72 = -47 -47 + 10p + 48p = 0 Combine like terms: 10p + 48p = 58p -47 + 58p = 0 Solving -47 + 58p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 58p = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 58p = 0 + 47 58p = 0 + 47 Combine like terms: 0 + 47 = 47 58p = 47 Divide each side by '58'. p = 0.8103448276 Simplifying p = 0.8103448276
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