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Simplifying 6p + 7(p + -6) + -2(q + -6) = 0 Reorder the terms: 6p + 7(-6 + p) + -2(q + -6) = 0 6p + (-6 * 7 + p * 7) + -2(q + -6) = 0 6p + (-42 + 7p) + -2(q + -6) = 0 Reorder the terms: 6p + -42 + 7p + -2(-6 + q) = 0 6p + -42 + 7p + (-6 * -2 + q * -2) = 0 6p + -42 + 7p + (12 + -2q) = 0 Reorder the terms: -42 + 12 + 6p + 7p + -2q = 0 Combine like terms: -42 + 12 = -30 -30 + 6p + 7p + -2q = 0 Combine like terms: 6p + 7p = 13p -30 + 13p + -2q = 0 Solving -30 + 13p + -2q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 13p + 30 + -2q = 0 + 30 Reorder the terms: -30 + 30 + 13p + -2q = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 13p + -2q = 0 + 30 13p + -2q = 0 + 30 Combine like terms: 0 + 30 = 30 13p + -2q = 30 Add '2q' to each side of the equation. 13p + -2q + 2q = 30 + 2q Combine like terms: -2q + 2q = 0 13p + 0 = 30 + 2q 13p = 30 + 2q Divide each side by '13'. p = 2.307692308 + 0.1538461538q Simplifying p = 2.307692308 + 0.1538461538q
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