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Simplifying 12 + 12r + 14p + -3r + -4p + -13 = 0 Reorder the terms: 12 + -13 + 14p + -4p + 12r + -3r = 0 Combine like terms: 12 + -13 = -1 -1 + 14p + -4p + 12r + -3r = 0 Combine like terms: 14p + -4p = 10p -1 + 10p + 12r + -3r = 0 Combine like terms: 12r + -3r = 9r -1 + 10p + 9r = 0 Solving -1 + 10p + 9r = 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 + 10p + 1 + 9r = 0 + 1 Reorder the terms: -1 + 1 + 10p + 9r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10p + 9r = 0 + 1 10p + 9r = 0 + 1 Combine like terms: 0 + 1 = 1 10p + 9r = 1 Add '-9r' to each side of the equation. 10p + 9r + -9r = 1 + -9r Combine like terms: 9r + -9r = 0 10p + 0 = 1 + -9r 10p = 1 + -9r Divide each side by '10'. p = 0.1 + -0.9r Simplifying p = 0.1 + -0.9r
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