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Simplifying -7(p + -31) + -5(4q + -3p) = b Reorder the terms: -7(-31 + p) + -5(4q + -3p) = b (-31 * -7 + p * -7) + -5(4q + -3p) = b (217 + -7p) + -5(4q + -3p) = b Reorder the terms: 217 + -7p + -5(-3p + 4q) = b 217 + -7p + (-3p * -5 + 4q * -5) = b 217 + -7p + (15p + -20q) = b Combine like terms: -7p + 15p = 8p 217 + 8p + -20q = b Solving 217 + 8p + -20q = b Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-217' to each side of the equation. 217 + 8p + -217 + -20q = -217 + b Reorder the terms: 217 + -217 + 8p + -20q = -217 + b Combine like terms: 217 + -217 = 0 0 + 8p + -20q = -217 + b 8p + -20q = -217 + b Add '20q' to each side of the equation. 8p + -20q + 20q = -217 + b + 20q Combine like terms: -20q + 20q = 0 8p + 0 = -217 + b + 20q 8p = -217 + b + 20q Divide each side by '8'. p = -27.125 + 0.125b + 2.5q Simplifying p = -27.125 + 0.125b + 2.5q
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