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Simplifying -24p + -5(2 + -6p) = 4(p + -5) + -16 -24p + (2 * -5 + -6p * -5) = 4(p + -5) + -16 -24p + (-10 + 30p) = 4(p + -5) + -16 Reorder the terms: -10 + -24p + 30p = 4(p + -5) + -16 Combine like terms: -24p + 30p = 6p -10 + 6p = 4(p + -5) + -16 Reorder the terms: -10 + 6p = 4(-5 + p) + -16 -10 + 6p = (-5 * 4 + p * 4) + -16 -10 + 6p = (-20 + 4p) + -16 Reorder the terms: -10 + 6p = -20 + -16 + 4p Combine like terms: -20 + -16 = -36 -10 + 6p = -36 + 4p Solving -10 + 6p = -36 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -10 + 6p + -4p = -36 + 4p + -4p Combine like terms: 6p + -4p = 2p -10 + 2p = -36 + 4p + -4p Combine like terms: 4p + -4p = 0 -10 + 2p = -36 + 0 -10 + 2p = -36 Add '10' to each side of the equation. -10 + 10 + 2p = -36 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = -36 + 10 2p = -36 + 10 Combine like terms: -36 + 10 = -26 2p = -26 Divide each side by '2'. p = -13 Simplifying p = -13
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