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Simplifying 6(2p + 5) + -1(4p + -2) = 0 Reorder the terms: 6(5 + 2p) + -1(4p + -2) = 0 (5 * 6 + 2p * 6) + -1(4p + -2) = 0 (30 + 12p) + -1(4p + -2) = 0 Reorder the terms: 30 + 12p + -1(-2 + 4p) = 0 30 + 12p + (-2 * -1 + 4p * -1) = 0 30 + 12p + (2 + -4p) = 0 Reorder the terms: 30 + 2 + 12p + -4p = 0 Combine like terms: 30 + 2 = 32 32 + 12p + -4p = 0 Combine like terms: 12p + -4p = 8p 32 + 8p = 0 Solving 32 + 8p = 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 + 8p = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8p = 0 + -32 8p = 0 + -32 Combine like terms: 0 + -32 = -32 8p = -32 Divide each side by '8'. p = -4 Simplifying p = -4
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