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Simplifying 2(p + 3) + 2(p + -4) = 22 Reorder the terms: 2(3 + p) + 2(p + -4) = 22 (3 * 2 + p * 2) + 2(p + -4) = 22 (6 + 2p) + 2(p + -4) = 22 Reorder the terms: 6 + 2p + 2(-4 + p) = 22 6 + 2p + (-4 * 2 + p * 2) = 22 6 + 2p + (-8 + 2p) = 22 Reorder the terms: 6 + -8 + 2p + 2p = 22 Combine like terms: 6 + -8 = -2 -2 + 2p + 2p = 22 Combine like terms: 2p + 2p = 4p -2 + 4p = 22 Solving -2 + 4p = 22 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4p = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 4p = 22 + 2 4p = 22 + 2 Combine like terms: 22 + 2 = 24 4p = 24 Divide each side by '4'. p = 6 Simplifying p = 6
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