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Simplifying (-1p + 2r + -15) + (7p + 5) = 0 Reorder the terms: (-15 + -1p + 2r) + (7p + 5) = 0 Remove parenthesis around (-15 + -1p + 2r) -15 + -1p + 2r + (7p + 5) = 0 Reorder the terms: -15 + -1p + 2r + (5 + 7p) = 0 Remove parenthesis around (5 + 7p) -15 + -1p + 2r + 5 + 7p = 0 Reorder the terms: -15 + 5 + -1p + 7p + 2r = 0 Combine like terms: -15 + 5 = -10 -10 + -1p + 7p + 2r = 0 Combine like terms: -1p + 7p = 6p -10 + 6p + 2r = 0 Solving -10 + 6p + 2r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 6p + 10 + 2r = 0 + 10 Reorder the terms: -10 + 10 + 6p + 2r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6p + 2r = 0 + 10 6p + 2r = 0 + 10 Combine like terms: 0 + 10 = 10 6p + 2r = 10 Add '-2r' to each side of the equation. 6p + 2r + -2r = 10 + -2r Combine like terms: 2r + -2r = 0 6p + 0 = 10 + -2r 6p = 10 + -2r Divide each side by '6'. p = 1.666666667 + -0.3333333333r Simplifying p = 1.666666667 + -0.3333333333r
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