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Simplifying 7(p + -4) + 4 = 4p + -2(p + 12) Reorder the terms: 7(-4 + p) + 4 = 4p + -2(p + 12) (-4 * 7 + p * 7) + 4 = 4p + -2(p + 12) (-28 + 7p) + 4 = 4p + -2(p + 12) Reorder the terms: -28 + 4 + 7p = 4p + -2(p + 12) Combine like terms: -28 + 4 = -24 -24 + 7p = 4p + -2(p + 12) Reorder the terms: -24 + 7p = 4p + -2(12 + p) -24 + 7p = 4p + (12 * -2 + p * -2) -24 + 7p = 4p + (-24 + -2p) Reorder the terms: -24 + 7p = -24 + 4p + -2p Combine like terms: 4p + -2p = 2p -24 + 7p = -24 + 2p Add '24' to each side of the equation. -24 + 24 + 7p = -24 + 24 + 2p Combine like terms: -24 + 24 = 0 0 + 7p = -24 + 24 + 2p 7p = -24 + 24 + 2p Combine like terms: -24 + 24 = 0 7p = 0 + 2p 7p = 2p Solving 7p = 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. 7p + -2p = 2p + -2p Combine like terms: 7p + -2p = 5p 5p = 2p + -2p Combine like terms: 2p + -2p = 0 5p = 0 Divide each side by '5'. p = 0 Simplifying p = 0
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