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Simplifying 2.3(7.24p + -2.7) = 5.7 + -2(p + 8.1) Reorder the terms: 2.3(-2.7 + 7.24p) = 5.7 + -2(p + 8.1) (-2.7 * 2.3 + 7.24p * 2.3) = 5.7 + -2(p + 8.1) (-6.21 + 16.652p) = 5.7 + -2(p + 8.1) Reorder the terms: -6.21 + 16.652p = 5.7 + -2(8.1 + p) -6.21 + 16.652p = 5.7 + (8.1 * -2 + p * -2) -6.21 + 16.652p = 5.7 + (-16.2 + -2p) Combine like terms: 5.7 + -16.2 = -10.5 -6.21 + 16.652p = -10.5 + -2p Solving -6.21 + 16.652p = -10.5 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -6.21 + 16.652p + 2p = -10.5 + -2p + 2p Combine like terms: 16.652p + 2p = 18.652p -6.21 + 18.652p = -10.5 + -2p + 2p Combine like terms: -2p + 2p = 0 -6.21 + 18.652p = -10.5 + 0 -6.21 + 18.652p = -10.5 Add '6.21' to each side of the equation. -6.21 + 6.21 + 18.652p = -10.5 + 6.21 Combine like terms: -6.21 + 6.21 = 0.00 0.00 + 18.652p = -10.5 + 6.21 18.652p = -10.5 + 6.21 Combine like terms: -10.5 + 6.21 = -4.29 18.652p = -4.29 Divide each side by '18.652'. p = -0.2300021445 Simplifying p = -0.2300021445
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