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Simplifying -7 + 3(p + 6) = -9 + 7p Reorder the terms: -7 + 3(6 + p) = -9 + 7p -7 + (6 * 3 + p * 3) = -9 + 7p -7 + (18 + 3p) = -9 + 7p Combine like terms: -7 + 18 = 11 11 + 3p = -9 + 7p Solving 11 + 3p = -9 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 11 + 3p + -7p = -9 + 7p + -7p Combine like terms: 3p + -7p = -4p 11 + -4p = -9 + 7p + -7p Combine like terms: 7p + -7p = 0 11 + -4p = -9 + 0 11 + -4p = -9 Add '-11' to each side of the equation. 11 + -11 + -4p = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -4p = -9 + -11 -4p = -9 + -11 Combine like terms: -9 + -11 = -20 -4p = -20 Divide each side by '-4'. p = 5 Simplifying p = 5
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