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Simplifying 3 + -5[2p + 7] + -8p + 2 = 0 Reorder the terms: 3 + -5[7 + 2p] + -8p + 2 = 0 3 + [7 * -5 + 2p * -5] + -8p + 2 = 0 3 + [-35 + -10p] + -8p + 2 = 0 Reorder the terms: 3 + -35 + 2 + -10p + -8p = 0 Combine like terms: 3 + -35 = -32 -32 + 2 + -10p + -8p = 0 Combine like terms: -32 + 2 = -30 -30 + -10p + -8p = 0 Combine like terms: -10p + -8p = -18p -30 + -18p = 0 Solving -30 + -18p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -18p = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -18p = 0 + 30 -18p = 0 + 30 Combine like terms: 0 + 30 = 30 -18p = 30 Divide each side by '-18'. p = -1.666666667 Simplifying p = -1.666666667
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