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Simplifying -24 + 2p = 7(p + -1) + 3 Reorder the terms: -24 + 2p = 7(-1 + p) + 3 -24 + 2p = (-1 * 7 + p * 7) + 3 -24 + 2p = (-7 + 7p) + 3 Reorder the terms: -24 + 2p = -7 + 3 + 7p Combine like terms: -7 + 3 = -4 -24 + 2p = -4 + 7p Solving -24 + 2p = -4 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -24 + 2p + -7p = -4 + 7p + -7p Combine like terms: 2p + -7p = -5p -24 + -5p = -4 + 7p + -7p Combine like terms: 7p + -7p = 0 -24 + -5p = -4 + 0 -24 + -5p = -4 Add '24' to each side of the equation. -24 + 24 + -5p = -4 + 24 Combine like terms: -24 + 24 = 0 0 + -5p = -4 + 24 -5p = -4 + 24 Combine like terms: -4 + 24 = 20 -5p = 20 Divide each side by '-5'. p = -4 Simplifying p = -4
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