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Simplifying -3(7p + 5) + -2(4 + -17p) = 3(9 + 4p) Reorder the terms: -3(5 + 7p) + -2(4 + -17p) = 3(9 + 4p) (5 * -3 + 7p * -3) + -2(4 + -17p) = 3(9 + 4p) (-15 + -21p) + -2(4 + -17p) = 3(9 + 4p) -15 + -21p + (4 * -2 + -17p * -2) = 3(9 + 4p) -15 + -21p + (-8 + 34p) = 3(9 + 4p) Reorder the terms: -15 + -8 + -21p + 34p = 3(9 + 4p) Combine like terms: -15 + -8 = -23 -23 + -21p + 34p = 3(9 + 4p) Combine like terms: -21p + 34p = 13p -23 + 13p = 3(9 + 4p) -23 + 13p = (9 * 3 + 4p * 3) -23 + 13p = (27 + 12p) Solving -23 + 13p = 27 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -23 + 13p + -12p = 27 + 12p + -12p Combine like terms: 13p + -12p = 1p -23 + 1p = 27 + 12p + -12p Combine like terms: 12p + -12p = 0 -23 + 1p = 27 + 0 -23 + 1p = 27 Add '23' to each side of the equation. -23 + 23 + 1p = 27 + 23 Combine like terms: -23 + 23 = 0 0 + 1p = 27 + 23 1p = 27 + 23 Combine like terms: 27 + 23 = 50 1p = 50 Divide each side by '1'. p = 50 Simplifying p = 50
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