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Simplifying 3p + -7(p + -3) + 6(q + -3) = 0 Reorder the terms: 3p + -7(-3 + p) + 6(q + -3) = 0 3p + (-3 * -7 + p * -7) + 6(q + -3) = 0 3p + (21 + -7p) + 6(q + -3) = 0 Reorder the terms: 3p + 21 + -7p + 6(-3 + q) = 0 3p + 21 + -7p + (-3 * 6 + q * 6) = 0 3p + 21 + -7p + (-18 + 6q) = 0 Reorder the terms: 21 + -18 + 3p + -7p + 6q = 0 Combine like terms: 21 + -18 = 3 3 + 3p + -7p + 6q = 0 Combine like terms: 3p + -7p = -4p 3 + -4p + 6q = 0 Solving 3 + -4p + 6q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -4p + -3 + 6q = 0 + -3 Reorder the terms: 3 + -3 + -4p + 6q = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4p + 6q = 0 + -3 -4p + 6q = 0 + -3 Combine like terms: 0 + -3 = -3 -4p + 6q = -3 Add '-6q' to each side of the equation. -4p + 6q + -6q = -3 + -6q Combine like terms: 6q + -6q = 0 -4p + 0 = -3 + -6q -4p = -3 + -6q Divide each side by '-4'. p = 0.75 + 1.5q Simplifying p = 0.75 + 1.5q
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