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Simplifying 2(3p + -1) = 2(3 + p) Reorder the terms: 2(-1 + 3p) = 2(3 + p) (-1 * 2 + 3p * 2) = 2(3 + p) (-2 + 6p) = 2(3 + p) -2 + 6p = (3 * 2 + p * 2) -2 + 6p = (6 + 2p) Solving -2 + 6p = 6 + 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. -2 + 6p + -2p = 6 + 2p + -2p Combine like terms: 6p + -2p = 4p -2 + 4p = 6 + 2p + -2p Combine like terms: 2p + -2p = 0 -2 + 4p = 6 + 0 -2 + 4p = 6 Add '2' to each side of the equation. -2 + 2 + 4p = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 4p = 6 + 2 4p = 6 + 2 Combine like terms: 6 + 2 = 8 4p = 8 Divide each side by '4'. p = 2 Simplifying p = 2
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