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Simplifying 2.5(-3p + -8) + 5p = 4(2.25p + 5.5) + 15.5 Reorder the terms: 2.5(-8 + -3p) + 5p = 4(2.25p + 5.5) + 15.5 (-8 * 2.5 + -3p * 2.5) + 5p = 4(2.25p + 5.5) + 15.5 (-20 + -7.5p) + 5p = 4(2.25p + 5.5) + 15.5 Combine like terms: -7.5p + 5p = -2.5p -20 + -2.5p = 4(2.25p + 5.5) + 15.5 Reorder the terms: -20 + -2.5p = 4(5.5 + 2.25p) + 15.5 -20 + -2.5p = (5.5 * 4 + 2.25p * 4) + 15.5 -20 + -2.5p = (22 + 9p) + 15.5 Reorder the terms: -20 + -2.5p = 22 + 15.5 + 9p Combine like terms: 22 + 15.5 = 37.5 -20 + -2.5p = 37.5 + 9p Solving -20 + -2.5p = 37.5 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -20 + -2.5p + -9p = 37.5 + 9p + -9p Combine like terms: -2.5p + -9p = -11.5p -20 + -11.5p = 37.5 + 9p + -9p Combine like terms: 9p + -9p = 0 -20 + -11.5p = 37.5 + 0 -20 + -11.5p = 37.5 Add '20' to each side of the equation. -20 + 20 + -11.5p = 37.5 + 20 Combine like terms: -20 + 20 = 0 0 + -11.5p = 37.5 + 20 -11.5p = 37.5 + 20 Combine like terms: 37.5 + 20 = 57.5 -11.5p = 57.5 Divide each side by '-11.5'. p = -5 Simplifying p = -5
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