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Simplifying 6p + 7(p + -6) + -4(q + -6) = 0 Reorder the terms: 6p + 7(-6 + p) + -4(q + -6) = 0 6p + (-6 * 7 + p * 7) + -4(q + -6) = 0 6p + (-42 + 7p) + -4(q + -6) = 0 Reorder the terms: 6p + -42 + 7p + -4(-6 + q) = 0 6p + -42 + 7p + (-6 * -4 + q * -4) = 0 6p + -42 + 7p + (24 + -4q) = 0 Reorder the terms: -42 + 24 + 6p + 7p + -4q = 0 Combine like terms: -42 + 24 = -18 -18 + 6p + 7p + -4q = 0 Combine like terms: 6p + 7p = 13p -18 + 13p + -4q = 0 Solving -18 + 13p + -4q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 13p + 18 + -4q = 0 + 18 Reorder the terms: -18 + 18 + 13p + -4q = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 13p + -4q = 0 + 18 13p + -4q = 0 + 18 Combine like terms: 0 + 18 = 18 13p + -4q = 18 Add '4q' to each side of the equation. 13p + -4q + 4q = 18 + 4q Combine like terms: -4q + 4q = 0 13p + 0 = 18 + 4q 13p = 18 + 4q Divide each side by '13'. p = 1.384615385 + 0.3076923077q Simplifying p = 1.384615385 + 0.3076923077q
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