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Simplifying -24 + 5p = -2(-1p + 6) Reorder the terms: -24 + 5p = -2(6 + -1p) -24 + 5p = (6 * -2 + -1p * -2) -24 + 5p = (-12 + 2p) Solving -24 + 5p = -12 + 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. -24 + 5p + -2p = -12 + 2p + -2p Combine like terms: 5p + -2p = 3p -24 + 3p = -12 + 2p + -2p Combine like terms: 2p + -2p = 0 -24 + 3p = -12 + 0 -24 + 3p = -12 Add '24' to each side of the equation. -24 + 24 + 3p = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 3p = -12 + 24 3p = -12 + 24 Combine like terms: -12 + 24 = 12 3p = 12 Divide each side by '3'. p = 4 Simplifying p = 4
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