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Simplifying 6p + -2(3p + -4) = 16 + -2p Reorder the terms: 6p + -2(-4 + 3p) = 16 + -2p 6p + (-4 * -2 + 3p * -2) = 16 + -2p 6p + (8 + -6p) = 16 + -2p Reorder the terms: 8 + 6p + -6p = 16 + -2p Combine like terms: 6p + -6p = 0 8 + 0 = 16 + -2p 8 = 16 + -2p Solving 8 = 16 + -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. 8 + 2p = 16 + -2p + 2p Combine like terms: -2p + 2p = 0 8 + 2p = 16 + 0 8 + 2p = 16 Add '-8' to each side of the equation. 8 + -8 + 2p = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = 16 + -8 2p = 16 + -8 Combine like terms: 16 + -8 = 8 2p = 8 Divide each side by '2'. p = 4 Simplifying p = 4
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