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Simplifying (5 + p) + -1(p + -1q) + -1(3p + 4q + -6) = 0 Remove parenthesis around (5 + p) 5 + p + -1(p + -1q) + -1(3p + 4q + -6) = 0 5 + p + (p * -1 + -1q * -1) + -1(3p + 4q + -6) = 0 5 + p + (-1p + 1q) + -1(3p + 4q + -6) = 0 Reorder the terms: 5 + p + -1p + 1q + -1(-6 + 3p + 4q) = 0 5 + p + -1p + 1q + (-6 * -1 + 3p * -1 + 4q * -1) = 0 5 + p + -1p + 1q + (6 + -3p + -4q) = 0 Reorder the terms: 5 + 6 + p + -1p + -3p + 1q + -4q = 0 Combine like terms: 5 + 6 = 11 11 + p + -1p + -3p + 1q + -4q = 0 Combine like terms: p + -1p = 0 11 + 0 + -3p + 1q + -4q = 0 11 + -3p + 1q + -4q = 0 Combine like terms: 1q + -4q = -3q 11 + -3p + -3q = 0 Solving 11 + -3p + -3q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -3p + -11 + -3q = 0 + -11 Reorder the terms: 11 + -11 + -3p + -3q = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3p + -3q = 0 + -11 -3p + -3q = 0 + -11 Combine like terms: 0 + -11 = -11 -3p + -3q = -11 Add '3q' to each side of the equation. -3p + -3q + 3q = -11 + 3q Combine like terms: -3q + 3q = 0 -3p + 0 = -11 + 3q -3p = -11 + 3q Divide each side by '-3'. p = 3.666666667 + -1q Simplifying p = 3.666666667 + -1q
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