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