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Simplifying 10 + -4(1 + -2p) = 2p + 6 10 + (1 * -4 + -2p * -4) = 2p + 6 10 + (-4 + 8p) = 2p + 6 Combine like terms: 10 + -4 = 6 6 + 8p = 2p + 6 Reorder the terms: 6 + 8p = 6 + 2p Add '-6' to each side of the equation. 6 + -6 + 8p = 6 + -6 + 2p Combine like terms: 6 + -6 = 0 0 + 8p = 6 + -6 + 2p 8p = 6 + -6 + 2p Combine like terms: 6 + -6 = 0 8p = 0 + 2p 8p = 2p Solving 8p = 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. 8p + -2p = 2p + -2p Combine like terms: 8p + -2p = 6p 6p = 2p + -2p Combine like terms: 2p + -2p = 0 6p = 0 Divide each side by '6'. p = 0 Simplifying p = 0
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