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Simplifying 7p + -6(p + -7) + (q + -7) = 0 Reorder the terms: 7p + -6(-7 + p) + (q + -7) = 0 7p + (-7 * -6 + p * -6) + (q + -7) = 0 7p + (42 + -6p) + (q + -7) = 0 Reorder the terms: 7p + 42 + -6p + (-7 + q) = 0 Remove parenthesis around (-7 + q) 7p + 42 + -6p + -7 + q = 0 Reorder the terms: 42 + -7 + 7p + -6p + q = 0 Combine like terms: 42 + -7 = 35 35 + 7p + -6p + q = 0 Combine like terms: 7p + -6p = 1p 35 + 1p + q = 0 Solving 35 + 1p + q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 1p + -35 + q = 0 + -35 Reorder the terms: 35 + -35 + 1p + q = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 1p + q = 0 + -35 1p + q = 0 + -35 Combine like terms: 0 + -35 = -35 1p + q = -35 Add '-1q' to each side of the equation. 1p + q + -1q = -35 + -1q Combine like terms: q + -1q = 0 1p + 0 = -35 + -1q 1p = -35 + -1q Divide each side by '1'. p = -35 + -1q Simplifying p = -35 + -1q
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