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Simplifying 4p + -5(p + -4) + 6(q + -4) = 0 Reorder the terms: 4p + -5(-4 + p) + 6(q + -4) = 0 4p + (-4 * -5 + p * -5) + 6(q + -4) = 0 4p + (20 + -5p) + 6(q + -4) = 0 Reorder the terms: 4p + 20 + -5p + 6(-4 + q) = 0 4p + 20 + -5p + (-4 * 6 + q * 6) = 0 4p + 20 + -5p + (-24 + 6q) = 0 Reorder the terms: 20 + -24 + 4p + -5p + 6q = 0 Combine like terms: 20 + -24 = -4 -4 + 4p + -5p + 6q = 0 Combine like terms: 4p + -5p = -1p -4 + -1p + 6q = 0 Solving -4 + -1p + 6q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1p + 4 + 6q = 0 + 4 Reorder the terms: -4 + 4 + -1p + 6q = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1p + 6q = 0 + 4 -1p + 6q = 0 + 4 Combine like terms: 0 + 4 = 4 -1p + 6q = 4 Add '-6q' to each side of the equation. -1p + 6q + -6q = 4 + -6q Combine like terms: 6q + -6q = 0 -1p + 0 = 4 + -6q -1p = 4 + -6q Divide each side by '-1'. p = -4 + 6q Simplifying p = -4 + 6q
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