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Simplifying -43.75 = 0.2p + 3.3(-2.6p + -3.1) Reorder the terms: -43.75 = 0.2p + 3.3(-3.1 + -2.6p) -43.75 = 0.2p + (-3.1 * 3.3 + -2.6p * 3.3) -43.75 = 0.2p + (-10.23 + -8.58p) Reorder the terms: -43.75 = -10.23 + 0.2p + -8.58p Combine like terms: 0.2p + -8.58p = -8.38p -43.75 = -10.23 + -8.38p Solving -43.75 = -10.23 + -8.38p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8.38p' to each side of the equation. -43.75 + 8.38p = -10.23 + -8.38p + 8.38p Combine like terms: -8.38p + 8.38p = 0.00 -43.75 + 8.38p = -10.23 + 0.00 -43.75 + 8.38p = -10.23 Add '43.75' to each side of the equation. -43.75 + 43.75 + 8.38p = -10.23 + 43.75 Combine like terms: -43.75 + 43.75 = 0.00 0.00 + 8.38p = -10.23 + 43.75 8.38p = -10.23 + 43.75 Combine like terms: -10.23 + 43.75 = 33.52 8.38p = 33.52 Divide each side by '8.38'. p = 4 Simplifying p = 4
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