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Simplifying 5p + -8r + 12r + -6p = 0 Reorder the terms: 5p + -6p + -8r + 12r = 0 Combine like terms: 5p + -6p = -1p -1p + -8r + 12r = 0 Combine like terms: -8r + 12r = 4r -1p + 4r = 0 Solving -1p + 4r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4r' to each side of the equation. -1p + 4r + -4r = 0 + -4r Combine like terms: 4r + -4r = 0 -1p + 0 = 0 + -4r -1p = 0 + -4r Remove the zero: -1p = -4r Divide each side by '-1'. p = 4r Simplifying p = 4r
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