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Simplifying 2(p + 4) + -4(p + -3) = 6 Reorder the terms: 2(4 + p) + -4(p + -3) = 6 (4 * 2 + p * 2) + -4(p + -3) = 6 (8 + 2p) + -4(p + -3) = 6 Reorder the terms: 8 + 2p + -4(-3 + p) = 6 8 + 2p + (-3 * -4 + p * -4) = 6 8 + 2p + (12 + -4p) = 6 Reorder the terms: 8 + 12 + 2p + -4p = 6 Combine like terms: 8 + 12 = 20 20 + 2p + -4p = 6 Combine like terms: 2p + -4p = -2p 20 + -2p = 6 Solving 20 + -2p = 6 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -2p = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -2p = 6 + -20 -2p = 6 + -20 Combine like terms: 6 + -20 = -14 -2p = -14 Divide each side by '-2'. p = 7 Simplifying p = 7
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