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Simplifying 3(3p + 4) + -4(p + 8) = 0 Reorder the terms: 3(4 + 3p) + -4(p + 8) = 0 (4 * 3 + 3p * 3) + -4(p + 8) = 0 (12 + 9p) + -4(p + 8) = 0 Reorder the terms: 12 + 9p + -4(8 + p) = 0 12 + 9p + (8 * -4 + p * -4) = 0 12 + 9p + (-32 + -4p) = 0 Reorder the terms: 12 + -32 + 9p + -4p = 0 Combine like terms: 12 + -32 = -20 -20 + 9p + -4p = 0 Combine like terms: 9p + -4p = 5p -20 + 5p = 0 Solving -20 + 5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 5p = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 5p = 0 + 20 5p = 0 + 20 Combine like terms: 0 + 20 = 20 5p = 20 Divide each side by '5'. p = 4 Simplifying p = 4
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