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Simplifying 8(-53.6p + -16.49) = -26.28 + -6(70.9p + 9.9) Reorder the terms: 8(-16.49 + -53.6p) = -26.28 + -6(70.9p + 9.9) (-16.49 * 8 + -53.6p * 8) = -26.28 + -6(70.9p + 9.9) (-131.92 + -428.8p) = -26.28 + -6(70.9p + 9.9) Reorder the terms: -131.92 + -428.8p = -26.28 + -6(9.9 + 70.9p) -131.92 + -428.8p = -26.28 + (9.9 * -6 + 70.9p * -6) -131.92 + -428.8p = -26.28 + (-59.4 + -425.4p) Combine like terms: -26.28 + -59.4 = -85.68 -131.92 + -428.8p = -85.68 + -425.4p Solving -131.92 + -428.8p = -85.68 + -425.4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '425.4p' to each side of the equation. -131.92 + -428.8p + 425.4p = -85.68 + -425.4p + 425.4p Combine like terms: -428.8p + 425.4p = -3.4p -131.92 + -3.4p = -85.68 + -425.4p + 425.4p Combine like terms: -425.4p + 425.4p = 0.0 -131.92 + -3.4p = -85.68 + 0.0 -131.92 + -3.4p = -85.68 Add '131.92' to each side of the equation. -131.92 + 131.92 + -3.4p = -85.68 + 131.92 Combine like terms: -131.92 + 131.92 = 0.00 0.00 + -3.4p = -85.68 + 131.92 -3.4p = -85.68 + 131.92 Combine like terms: -85.68 + 131.92 = 46.24 -3.4p = 46.24 Divide each side by '-3.4'. p = -13.6 Simplifying p = -13.6
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