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Simplifying 2(4p + -1) + -4(2p + -8) + -8p = 0 Reorder the terms: 2(-1 + 4p) + -4(2p + -8) + -8p = 0 (-1 * 2 + 4p * 2) + -4(2p + -8) + -8p = 0 (-2 + 8p) + -4(2p + -8) + -8p = 0 Reorder the terms: -2 + 8p + -4(-8 + 2p) + -8p = 0 -2 + 8p + (-8 * -4 + 2p * -4) + -8p = 0 -2 + 8p + (32 + -8p) + -8p = 0 Reorder the terms: -2 + 32 + 8p + -8p + -8p = 0 Combine like terms: -2 + 32 = 30 30 + 8p + -8p + -8p = 0 Combine like terms: 8p + -8p = 0 30 + 0 + -8p = 0 30 + -8p = 0 Solving 30 + -8p = 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 + -8p = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -8p = 0 + -30 -8p = 0 + -30 Combine like terms: 0 + -30 = -30 -8p = -30 Divide each side by '-8'. p = 3.75 Simplifying p = 3.75
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