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Simplifying 2(p + 1) + -4 = 16 + -8(p + 1) Reorder the terms: 2(1 + p) + -4 = 16 + -8(p + 1) (1 * 2 + p * 2) + -4 = 16 + -8(p + 1) (2 + 2p) + -4 = 16 + -8(p + 1) Reorder the terms: 2 + -4 + 2p = 16 + -8(p + 1) Combine like terms: 2 + -4 = -2 -2 + 2p = 16 + -8(p + 1) Reorder the terms: -2 + 2p = 16 + -8(1 + p) -2 + 2p = 16 + (1 * -8 + p * -8) -2 + 2p = 16 + (-8 + -8p) Combine like terms: 16 + -8 = 8 -2 + 2p = 8 + -8p Solving -2 + 2p = 8 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -2 + 2p + 8p = 8 + -8p + 8p Combine like terms: 2p + 8p = 10p -2 + 10p = 8 + -8p + 8p Combine like terms: -8p + 8p = 0 -2 + 10p = 8 + 0 -2 + 10p = 8 Add '2' to each side of the equation. -2 + 2 + 10p = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 10p = 8 + 2 10p = 8 + 2 Combine like terms: 8 + 2 = 10 10p = 10 Divide each side by '10'. p = 1 Simplifying p = 1
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