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Simplifying 2(3p + -4) = 4p + -9 Reorder the terms: 2(-4 + 3p) = 4p + -9 (-4 * 2 + 3p * 2) = 4p + -9 (-8 + 6p) = 4p + -9 Reorder the terms: -8 + 6p = -9 + 4p Solving -8 + 6p = -9 + 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 = -9 + 4p + -4p Combine like terms: 6p + -4p = 2p -8 + 2p = -9 + 4p + -4p Combine like terms: 4p + -4p = 0 -8 + 2p = -9 + 0 -8 + 2p = -9 Add '8' to each side of the equation. -8 + 8 + 2p = -9 + 8 Combine like terms: -8 + 8 = 0 0 + 2p = -9 + 8 2p = -9 + 8 Combine like terms: -9 + 8 = -1 2p = -1 Divide each side by '2'. p = -0.5 Simplifying p = -0.5
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