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Simplifying 2(5p + 2) + -4(p + 9) = 0 Reorder the terms: 2(2 + 5p) + -4(p + 9) = 0 (2 * 2 + 5p * 2) + -4(p + 9) = 0 (4 + 10p) + -4(p + 9) = 0 Reorder the terms: 4 + 10p + -4(9 + p) = 0 4 + 10p + (9 * -4 + p * -4) = 0 4 + 10p + (-36 + -4p) = 0 Reorder the terms: 4 + -36 + 10p + -4p = 0 Combine like terms: 4 + -36 = -32 -32 + 10p + -4p = 0 Combine like terms: 10p + -4p = 6p -32 + 6p = 0 Solving -32 + 6p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 6p = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 6p = 0 + 32 6p = 0 + 32 Combine like terms: 0 + 32 = 32 6p = 32 Divide each side by '6'. p = 5.333333333 Simplifying p = 5.333333333
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