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Simplifying -111.748 = -5.2p + -2.6(3.2p + 4.5) Reorder the terms: -111.748 = -5.2p + -2.6(4.5 + 3.2p) -111.748 = -5.2p + (4.5 * -2.6 + 3.2p * -2.6) -111.748 = -5.2p + (-11.7 + -8.32p) Reorder the terms: -111.748 = -11.7 + -5.2p + -8.32p Combine like terms: -5.2p + -8.32p = -13.52p -111.748 = -11.7 + -13.52p Solving -111.748 = -11.7 + -13.52p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13.52p' to each side of the equation. -111.748 + 13.52p = -11.7 + -13.52p + 13.52p Combine like terms: -13.52p + 13.52p = 0.00 -111.748 + 13.52p = -11.7 + 0.00 -111.748 + 13.52p = -11.7 Add '111.748' to each side of the equation. -111.748 + 111.748 + 13.52p = -11.7 + 111.748 Combine like terms: -111.748 + 111.748 = 0.000 0.000 + 13.52p = -11.7 + 111.748 13.52p = -11.7 + 111.748 Combine like terms: -11.7 + 111.748 = 100.048 13.52p = 100.048 Divide each side by '13.52'. p = 7.4 Simplifying p = 7.4
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