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Simplifying 7(2p + 1) + -4(3p + 2) = 0 Reorder the terms: 7(1 + 2p) + -4(3p + 2) = 0 (1 * 7 + 2p * 7) + -4(3p + 2) = 0 (7 + 14p) + -4(3p + 2) = 0 Reorder the terms: 7 + 14p + -4(2 + 3p) = 0 7 + 14p + (2 * -4 + 3p * -4) = 0 7 + 14p + (-8 + -12p) = 0 Reorder the terms: 7 + -8 + 14p + -12p = 0 Combine like terms: 7 + -8 = -1 -1 + 14p + -12p = 0 Combine like terms: 14p + -12p = 2p -1 + 2p = 0 Solving -1 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2p = 0 + 1 2p = 0 + 1 Combine like terms: 0 + 1 = 1 2p = 1 Divide each side by '2'. p = 0.5 Simplifying p = 0.5
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