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Simplifying 3p + -1(7p + 6) = 8 + -1(9p + -9) Reorder the terms: 3p + -1(6 + 7p) = 8 + -1(9p + -9) 3p + (6 * -1 + 7p * -1) = 8 + -1(9p + -9) 3p + (-6 + -7p) = 8 + -1(9p + -9) Reorder the terms: -6 + 3p + -7p = 8 + -1(9p + -9) Combine like terms: 3p + -7p = -4p -6 + -4p = 8 + -1(9p + -9) Reorder the terms: -6 + -4p = 8 + -1(-9 + 9p) -6 + -4p = 8 + (-9 * -1 + 9p * -1) -6 + -4p = 8 + (9 + -9p) Combine like terms: 8 + 9 = 17 -6 + -4p = 17 + -9p Solving -6 + -4p = 17 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. -6 + -4p + 9p = 17 + -9p + 9p Combine like terms: -4p + 9p = 5p -6 + 5p = 17 + -9p + 9p Combine like terms: -9p + 9p = 0 -6 + 5p = 17 + 0 -6 + 5p = 17 Add '6' to each side of the equation. -6 + 6 + 5p = 17 + 6 Combine like terms: -6 + 6 = 0 0 + 5p = 17 + 6 5p = 17 + 6 Combine like terms: 17 + 6 = 23 5p = 23 Divide each side by '5'. p = 4.6 Simplifying p = 4.6
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