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Simplifying 5p + -2(3 + -2p) = 5(p + -6) + -24 5p + (3 * -2 + -2p * -2) = 5(p + -6) + -24 5p + (-6 + 4p) = 5(p + -6) + -24 Reorder the terms: -6 + 5p + 4p = 5(p + -6) + -24 Combine like terms: 5p + 4p = 9p -6 + 9p = 5(p + -6) + -24 Reorder the terms: -6 + 9p = 5(-6 + p) + -24 -6 + 9p = (-6 * 5 + p * 5) + -24 -6 + 9p = (-30 + 5p) + -24 Reorder the terms: -6 + 9p = -30 + -24 + 5p Combine like terms: -30 + -24 = -54 -6 + 9p = -54 + 5p Solving -6 + 9p = -54 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -6 + 9p + -5p = -54 + 5p + -5p Combine like terms: 9p + -5p = 4p -6 + 4p = -54 + 5p + -5p Combine like terms: 5p + -5p = 0 -6 + 4p = -54 + 0 -6 + 4p = -54 Add '6' to each side of the equation. -6 + 6 + 4p = -54 + 6 Combine like terms: -6 + 6 = 0 0 + 4p = -54 + 6 4p = -54 + 6 Combine like terms: -54 + 6 = -48 4p = -48 Divide each side by '4'. p = -12 Simplifying p = -12
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