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Simplifying -19.75 + -19p = 16.71 + -16.5p + 12.29 Reorder the terms: -19.75 + -19p = 16.71 + 12.29 + -16.5p Combine like terms: 16.71 + 12.29 = 29 -19.75 + -19p = 29 + -16.5p Solving -19.75 + -19p = 29 + -16.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16.5p' to each side of the equation. -19.75 + -19p + 16.5p = 29 + -16.5p + 16.5p Combine like terms: -19p + 16.5p = -2.5p -19.75 + -2.5p = 29 + -16.5p + 16.5p Combine like terms: -16.5p + 16.5p = 0.0 -19.75 + -2.5p = 29 + 0.0 -19.75 + -2.5p = 29 Add '19.75' to each side of the equation. -19.75 + 19.75 + -2.5p = 29 + 19.75 Combine like terms: -19.75 + 19.75 = 0.00 0.00 + -2.5p = 29 + 19.75 -2.5p = 29 + 19.75 Combine like terms: 29 + 19.75 = 48.75 -2.5p = 48.75 Divide each side by '-2.5'. p = -19.5 Simplifying p = -19.5
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