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Simplifying 4p + 3r + 7 + -1p + 2r + -6 = 0 Reorder the terms: 7 + -6 + 4p + -1p + 3r + 2r = 0 Combine like terms: 7 + -6 = 1 1 + 4p + -1p + 3r + 2r = 0 Combine like terms: 4p + -1p = 3p 1 + 3p + 3r + 2r = 0 Combine like terms: 3r + 2r = 5r 1 + 3p + 5r = 0 Solving 1 + 3p + 5r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3p + -1 + 5r = 0 + -1 Reorder the terms: 1 + -1 + 3p + 5r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3p + 5r = 0 + -1 3p + 5r = 0 + -1 Combine like terms: 0 + -1 = -1 3p + 5r = -1 Add '-5r' to each side of the equation. 3p + 5r + -5r = -1 + -5r Combine like terms: 5r + -5r = 0 3p + 0 = -1 + -5r 3p = -1 + -5r Divide each side by '3'. p = -0.3333333333 + -1.666666667r Simplifying p = -0.3333333333 + -1.666666667r
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