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Simplifying -3(4p + 3) + -2(1 + -11p) = 3(4 + 3P) Reorder the terms: -3(3 + 4p) + -2(1 + -11p) = 3(4 + 3P) (3 * -3 + 4p * -3) + -2(1 + -11p) = 3(4 + 3P) (-9 + -12p) + -2(1 + -11p) = 3(4 + 3P) -9 + -12p + (1 * -2 + -11p * -2) = 3(4 + 3P) -9 + -12p + (-2 + 22p) = 3(4 + 3P) Reorder the terms: -9 + -2 + -12p + 22p = 3(4 + 3P) Combine like terms: -9 + -2 = -11 -11 + -12p + 22p = 3(4 + 3P) Combine like terms: -12p + 22p = 10p -11 + 10p = 3(4 + 3P) -11 + 10p = (4 * 3 + 3P * 3) -11 + 10p = (12 + 9P) Solving -11 + 10p = 12 + 9P Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 10p = 12 + 11 + 9P Combine like terms: -11 + 11 = 0 0 + 10p = 12 + 11 + 9P 10p = 12 + 11 + 9P Combine like terms: 12 + 11 = 23 10p = 23 + 9P Divide each side by '10'. p = 2.3 + 0.9P Simplifying p = 2.3 + 0.9P
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