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Simplifying -5p + -3(3 + -4p) = 2(p + -5) + -44 -5p + (3 * -3 + -4p * -3) = 2(p + -5) + -44 -5p + (-9 + 12p) = 2(p + -5) + -44 Reorder the terms: -9 + -5p + 12p = 2(p + -5) + -44 Combine like terms: -5p + 12p = 7p -9 + 7p = 2(p + -5) + -44 Reorder the terms: -9 + 7p = 2(-5 + p) + -44 -9 + 7p = (-5 * 2 + p * 2) + -44 -9 + 7p = (-10 + 2p) + -44 Reorder the terms: -9 + 7p = -10 + -44 + 2p Combine like terms: -10 + -44 = -54 -9 + 7p = -54 + 2p Solving -9 + 7p = -54 + 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. -9 + 7p + -2p = -54 + 2p + -2p Combine like terms: 7p + -2p = 5p -9 + 5p = -54 + 2p + -2p Combine like terms: 2p + -2p = 0 -9 + 5p = -54 + 0 -9 + 5p = -54 Add '9' to each side of the equation. -9 + 9 + 5p = -54 + 9 Combine like terms: -9 + 9 = 0 0 + 5p = -54 + 9 5p = -54 + 9 Combine like terms: -54 + 9 = -45 5p = -45 Divide each side by '5'. p = -9 Simplifying p = -9
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