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Simplifying 2p + -32 = 8(4p + -4) Reorder the terms: -32 + 2p = 8(4p + -4) Reorder the terms: -32 + 2p = 8(-4 + 4p) -32 + 2p = (-4 * 8 + 4p * 8) -32 + 2p = (-32 + 32p) Add '32' to each side of the equation. -32 + 32 + 2p = -32 + 32 + 32p Combine like terms: -32 + 32 = 0 0 + 2p = -32 + 32 + 32p 2p = -32 + 32 + 32p Combine like terms: -32 + 32 = 0 2p = 0 + 32p 2p = 32p Solving 2p = 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. 2p + -32p = 32p + -32p Combine like terms: 2p + -32p = -30p -30p = 32p + -32p Combine like terms: 32p + -32p = 0 -30p = 0 Divide each side by '-30'. p = 0.0 Simplifying p = 0.0
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