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Simplifying 4p + -1(q + -5) + -1p + -1(q + -1p) = 0 Reorder the terms: 4p + -1(-5 + q) + -1p + -1(q + -1p) = 0 4p + (-5 * -1 + q * -1) + -1p + -1(q + -1p) = 0 4p + (5 + -1q) + -1p + -1(q + -1p) = 0 Reorder the terms: 4p + 5 + -1q + -1p + -1(-1p + q) = 0 4p + 5 + -1q + -1p + (-1p * -1 + q * -1) = 0 4p + 5 + -1q + -1p + (1p + -1q) = 0 Reorder the terms: 5 + 4p + -1p + 1p + -1q + -1q = 0 Combine like terms: 4p + -1p = 3p 5 + 3p + 1p + -1q + -1q = 0 Combine like terms: 3p + 1p = 4p 5 + 4p + -1q + -1q = 0 Combine like terms: -1q + -1q = -2q 5 + 4p + -2q = 0 Solving 5 + 4p + -2q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4p + -5 + -2q = 0 + -5 Reorder the terms: 5 + -5 + 4p + -2q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4p + -2q = 0 + -5 4p + -2q = 0 + -5 Combine like terms: 0 + -5 = -5 4p + -2q = -5 Add '2q' to each side of the equation. 4p + -2q + 2q = -5 + 2q Combine like terms: -2q + 2q = 0 4p + 0 = -5 + 2q 4p = -5 + 2q Divide each side by '4'. p = -1.25 + 0.5q Simplifying p = -1.25 + 0.5q
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