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Simplifying 7p + -8(p + -7) + (q + -7) = 0 Reorder the terms: 7p + -8(-7 + p) + (q + -7) = 0 7p + (-7 * -8 + p * -8) + (q + -7) = 0 7p + (56 + -8p) + (q + -7) = 0 Reorder the terms: 7p + 56 + -8p + (-7 + q) = 0 Remove parenthesis around (-7 + q) 7p + 56 + -8p + -7 + q = 0 Reorder the terms: 56 + -7 + 7p + -8p + q = 0 Combine like terms: 56 + -7 = 49 49 + 7p + -8p + q = 0 Combine like terms: 7p + -8p = -1p 49 + -1p + q = 0 Solving 49 + -1p + q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -1p + -49 + q = 0 + -49 Reorder the terms: 49 + -49 + -1p + q = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1p + q = 0 + -49 -1p + q = 0 + -49 Combine like terms: 0 + -49 = -49 -1p + q = -49 Add '-1q' to each side of the equation. -1p + q + -1q = -49 + -1q Combine like terms: q + -1q = 0 -1p + 0 = -49 + -1q -1p = -49 + -1q Divide each side by '-1'. p = 49 + q Simplifying p = 49 + q
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