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Simplifying 4(3p + -2) + -2(5p + 3) = 0 Reorder the terms: 4(-2 + 3p) + -2(5p + 3) = 0 (-2 * 4 + 3p * 4) + -2(5p + 3) = 0 (-8 + 12p) + -2(5p + 3) = 0 Reorder the terms: -8 + 12p + -2(3 + 5p) = 0 -8 + 12p + (3 * -2 + 5p * -2) = 0 -8 + 12p + (-6 + -10p) = 0 Reorder the terms: -8 + -6 + 12p + -10p = 0 Combine like terms: -8 + -6 = -14 -14 + 12p + -10p = 0 Combine like terms: 12p + -10p = 2p -14 + 2p = 0 Solving -14 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2p = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2p = 0 + 14 2p = 0 + 14 Combine like terms: 0 + 14 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7
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