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Simplifying 3(2p + 6) + -4(p + -1) = 0 Reorder the terms: 3(6 + 2p) + -4(p + -1) = 0 (6 * 3 + 2p * 3) + -4(p + -1) = 0 (18 + 6p) + -4(p + -1) = 0 Reorder the terms: 18 + 6p + -4(-1 + p) = 0 18 + 6p + (-1 * -4 + p * -4) = 0 18 + 6p + (4 + -4p) = 0 Reorder the terms: 18 + 4 + 6p + -4p = 0 Combine like terms: 18 + 4 = 22 22 + 6p + -4p = 0 Combine like terms: 6p + -4p = 2p 22 + 2p = 0 Solving 22 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2p = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 2p = 0 + -22 2p = 0 + -22 Combine like terms: 0 + -22 = -22 2p = -22 Divide each side by '2'. p = -11 Simplifying p = -11
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