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Simplifying -5p + -4(6 + -3p) = 5(p + -3) + -15 -5p + (6 * -4 + -3p * -4) = 5(p + -3) + -15 -5p + (-24 + 12p) = 5(p + -3) + -15 Reorder the terms: -24 + -5p + 12p = 5(p + -3) + -15 Combine like terms: -5p + 12p = 7p -24 + 7p = 5(p + -3) + -15 Reorder the terms: -24 + 7p = 5(-3 + p) + -15 -24 + 7p = (-3 * 5 + p * 5) + -15 -24 + 7p = (-15 + 5p) + -15 Reorder the terms: -24 + 7p = -15 + -15 + 5p Combine like terms: -15 + -15 = -30 -24 + 7p = -30 + 5p Solving -24 + 7p = -30 + 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. -24 + 7p + -5p = -30 + 5p + -5p Combine like terms: 7p + -5p = 2p -24 + 2p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 -24 + 2p = -30 + 0 -24 + 2p = -30 Add '24' to each side of the equation. -24 + 24 + 2p = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 2p = -30 + 24 2p = -30 + 24 Combine like terms: -30 + 24 = -6 2p = -6 Divide each side by '2'. p = -3 Simplifying p = -3
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