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Simplifying 5p + -6(p + -5) + 5(q + -5) = 0 Reorder the terms: 5p + -6(-5 + p) + 5(q + -5) = 0 5p + (-5 * -6 + p * -6) + 5(q + -5) = 0 5p + (30 + -6p) + 5(q + -5) = 0 Reorder the terms: 5p + 30 + -6p + 5(-5 + q) = 0 5p + 30 + -6p + (-5 * 5 + q * 5) = 0 5p + 30 + -6p + (-25 + 5q) = 0 Reorder the terms: 30 + -25 + 5p + -6p + 5q = 0 Combine like terms: 30 + -25 = 5 5 + 5p + -6p + 5q = 0 Combine like terms: 5p + -6p = -1p 5 + -1p + 5q = 0 Solving 5 + -1p + 5q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -1p + -5 + 5q = 0 + -5 Reorder the terms: 5 + -5 + -1p + 5q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p + 5q = 0 + -5 -1p + 5q = 0 + -5 Combine like terms: 0 + -5 = -5 -1p + 5q = -5 Add '-5q' to each side of the equation. -1p + 5q + -5q = -5 + -5q Combine like terms: 5q + -5q = 0 -1p + 0 = -5 + -5q -1p = -5 + -5q Divide each side by '-1'. p = 5 + 5q Simplifying p = 5 + 5q
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