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Simplifying 6q + -7(q + -6) + 6(p + -6) = 0 Reorder the terms: 6q + -7(-6 + q) + 6(p + -6) = 0 6q + (-6 * -7 + q * -7) + 6(p + -6) = 0 6q + (42 + -7q) + 6(p + -6) = 0 Reorder the terms: 6q + 42 + -7q + 6(-6 + p) = 0 6q + 42 + -7q + (-6 * 6 + p * 6) = 0 6q + 42 + -7q + (-36 + 6p) = 0 Reorder the terms: 42 + -36 + 6p + 6q + -7q = 0 Combine like terms: 42 + -36 = 6 6 + 6p + 6q + -7q = 0 Combine like terms: 6q + -7q = -1q 6 + 6p + -1q = 0 Solving 6 + 6p + -1q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 6p + -6 + -1q = 0 + -6 Reorder the terms: 6 + -6 + 6p + -1q = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6p + -1q = 0 + -6 6p + -1q = 0 + -6 Combine like terms: 0 + -6 = -6 6p + -1q = -6 Add 'q' to each side of the equation. 6p + -1q + q = -6 + q Combine like terms: -1q + q = 0 6p + 0 = -6 + q 6p = -6 + q Divide each side by '6'. p = -1 + 0.1666666667q Simplifying p = -1 + 0.1666666667q
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