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Simplifying 3p + 3 = 2(-8p + 3) + -5(-9 + -5p) Reorder the terms: 3 + 3p = 2(-8p + 3) + -5(-9 + -5p) Reorder the terms: 3 + 3p = 2(3 + -8p) + -5(-9 + -5p) 3 + 3p = (3 * 2 + -8p * 2) + -5(-9 + -5p) 3 + 3p = (6 + -16p) + -5(-9 + -5p) 3 + 3p = 6 + -16p + (-9 * -5 + -5p * -5) 3 + 3p = 6 + -16p + (45 + 25p) Reorder the terms: 3 + 3p = 6 + 45 + -16p + 25p Combine like terms: 6 + 45 = 51 3 + 3p = 51 + -16p + 25p Combine like terms: -16p + 25p = 9p 3 + 3p = 51 + 9p Solving 3 + 3p = 51 + 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. 3 + 3p + -9p = 51 + 9p + -9p Combine like terms: 3p + -9p = -6p 3 + -6p = 51 + 9p + -9p Combine like terms: 9p + -9p = 0 3 + -6p = 51 + 0 3 + -6p = 51 Add '-3' to each side of the equation. 3 + -3 + -6p = 51 + -3 Combine like terms: 3 + -3 = 0 0 + -6p = 51 + -3 -6p = 51 + -3 Combine like terms: 51 + -3 = 48 -6p = 48 Divide each side by '-6'. p = -8 Simplifying p = -8
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