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Simplifying 2(3p + -4) = 4p + 6 Reorder the terms: 2(-4 + 3p) = 4p + 6 (-4 * 2 + 3p * 2) = 4p + 6 (-8 + 6p) = 4p + 6 Reorder the terms: -8 + 6p = 6 + 4p Solving -8 + 6p = 6 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -8 + 6p + -4p = 6 + 4p + -4p Combine like terms: 6p + -4p = 2p -8 + 2p = 6 + 4p + -4p Combine like terms: 4p + -4p = 0 -8 + 2p = 6 + 0 -8 + 2p = 6 Add '8' to each side of the equation. -8 + 8 + 2p = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2p = 6 + 8 2p = 6 + 8 Combine like terms: 6 + 8 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7
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