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Simplifying -17p + -5(6 + -5p) = 6(p + -3) + -8 -17p + (6 * -5 + -5p * -5) = 6(p + -3) + -8 -17p + (-30 + 25p) = 6(p + -3) + -8 Reorder the terms: -30 + -17p + 25p = 6(p + -3) + -8 Combine like terms: -17p + 25p = 8p -30 + 8p = 6(p + -3) + -8 Reorder the terms: -30 + 8p = 6(-3 + p) + -8 -30 + 8p = (-3 * 6 + p * 6) + -8 -30 + 8p = (-18 + 6p) + -8 Reorder the terms: -30 + 8p = -18 + -8 + 6p Combine like terms: -18 + -8 = -26 -30 + 8p = -26 + 6p Solving -30 + 8p = -26 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -30 + 8p + -6p = -26 + 6p + -6p Combine like terms: 8p + -6p = 2p -30 + 2p = -26 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + 2p = -26 + 0 -30 + 2p = -26 Add '30' to each side of the equation. -30 + 30 + 2p = -26 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = -26 + 30 2p = -26 + 30 Combine like terms: -26 + 30 = 4 2p = 4 Divide each side by '2'. p = 2 Simplifying p = 2
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