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Simplifying -5(5p + 3) + -32 = 3(3p + 7) Reorder the terms: -5(3 + 5p) + -32 = 3(3p + 7) (3 * -5 + 5p * -5) + -32 = 3(3p + 7) (-15 + -25p) + -32 = 3(3p + 7) Reorder the terms: -15 + -32 + -25p = 3(3p + 7) Combine like terms: -15 + -32 = -47 -47 + -25p = 3(3p + 7) Reorder the terms: -47 + -25p = 3(7 + 3p) -47 + -25p = (7 * 3 + 3p * 3) -47 + -25p = (21 + 9p) Solving -47 + -25p = 21 + 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. -47 + -25p + -9p = 21 + 9p + -9p Combine like terms: -25p + -9p = -34p -47 + -34p = 21 + 9p + -9p Combine like terms: 9p + -9p = 0 -47 + -34p = 21 + 0 -47 + -34p = 21 Add '47' to each side of the equation. -47 + 47 + -34p = 21 + 47 Combine like terms: -47 + 47 = 0 0 + -34p = 21 + 47 -34p = 21 + 47 Combine like terms: 21 + 47 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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