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Simplifying -8p + -3(5 + -5p) = 2(p + -3) + -44 -8p + (5 * -3 + -5p * -3) = 2(p + -3) + -44 -8p + (-15 + 15p) = 2(p + -3) + -44 Reorder the terms: -15 + -8p + 15p = 2(p + -3) + -44 Combine like terms: -8p + 15p = 7p -15 + 7p = 2(p + -3) + -44 Reorder the terms: -15 + 7p = 2(-3 + p) + -44 -15 + 7p = (-3 * 2 + p * 2) + -44 -15 + 7p = (-6 + 2p) + -44 Reorder the terms: -15 + 7p = -6 + -44 + 2p Combine like terms: -6 + -44 = -50 -15 + 7p = -50 + 2p Solving -15 + 7p = -50 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -15 + 7p + -2p = -50 + 2p + -2p Combine like terms: 7p + -2p = 5p -15 + 5p = -50 + 2p + -2p Combine like terms: 2p + -2p = 0 -15 + 5p = -50 + 0 -15 + 5p = -50 Add '15' to each side of the equation. -15 + 15 + 5p = -50 + 15 Combine like terms: -15 + 15 = 0 0 + 5p = -50 + 15 5p = -50 + 15 Combine like terms: -50 + 15 = -35 5p = -35 Divide each side by '5'. p = -7 Simplifying p = -7
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