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Simplifying 10(p + 3) + -2(p + -1) = 0 Reorder the terms: 10(3 + p) + -2(p + -1) = 0 (3 * 10 + p * 10) + -2(p + -1) = 0 (30 + 10p) + -2(p + -1) = 0 Reorder the terms: 30 + 10p + -2(-1 + p) = 0 30 + 10p + (-1 * -2 + p * -2) = 0 30 + 10p + (2 + -2p) = 0 Reorder the terms: 30 + 2 + 10p + -2p = 0 Combine like terms: 30 + 2 = 32 32 + 10p + -2p = 0 Combine like terms: 10p + -2p = 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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