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Simplifying -24p + -5(4 + -6p) = 4(p + -2) + -18 -24p + (4 * -5 + -6p * -5) = 4(p + -2) + -18 -24p + (-20 + 30p) = 4(p + -2) + -18 Reorder the terms: -20 + -24p + 30p = 4(p + -2) + -18 Combine like terms: -24p + 30p = 6p -20 + 6p = 4(p + -2) + -18 Reorder the terms: -20 + 6p = 4(-2 + p) + -18 -20 + 6p = (-2 * 4 + p * 4) + -18 -20 + 6p = (-8 + 4p) + -18 Reorder the terms: -20 + 6p = -8 + -18 + 4p Combine like terms: -8 + -18 = -26 -20 + 6p = -26 + 4p Solving -20 + 6p = -26 + 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. -20 + 6p + -4p = -26 + 4p + -4p Combine like terms: 6p + -4p = 2p -20 + 2p = -26 + 4p + -4p Combine like terms: 4p + -4p = 0 -20 + 2p = -26 + 0 -20 + 2p = -26 Add '20' to each side of the equation. -20 + 20 + 2p = -26 + 20 Combine like terms: -20 + 20 = 0 0 + 2p = -26 + 20 2p = -26 + 20 Combine like terms: -26 + 20 = -6 2p = -6 Divide each side by '2'. p = -3 Simplifying p = -3
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