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Simplifying 7p + -8(p + -7) + 5(q + -7) = 0 Reorder the terms: 7p + -8(-7 + p) + 5(q + -7) = 0 7p + (-7 * -8 + p * -8) + 5(q + -7) = 0 7p + (56 + -8p) + 5(q + -7) = 0 Reorder the terms: 7p + 56 + -8p + 5(-7 + q) = 0 7p + 56 + -8p + (-7 * 5 + q * 5) = 0 7p + 56 + -8p + (-35 + 5q) = 0 Reorder the terms: 56 + -35 + 7p + -8p + 5q = 0 Combine like terms: 56 + -35 = 21 21 + 7p + -8p + 5q = 0 Combine like terms: 7p + -8p = -1p 21 + -1p + 5q = 0 Solving 21 + -1p + 5q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -1p + -21 + 5q = 0 + -21 Reorder the terms: 21 + -21 + -1p + 5q = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1p + 5q = 0 + -21 -1p + 5q = 0 + -21 Combine like terms: 0 + -21 = -21 -1p + 5q = -21 Add '-5q' to each side of the equation. -1p + 5q + -5q = -21 + -5q Combine like terms: 5q + -5q = 0 -1p + 0 = -21 + -5q -1p = -21 + -5q Divide each side by '-1'. p = 21 + 5q Simplifying p = 21 + 5q
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