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Simplifying 2(8p + -11) + -6(1 + 2p) = 20 Reorder the terms: 2(-11 + 8p) + -6(1 + 2p) = 20 (-11 * 2 + 8p * 2) + -6(1 + 2p) = 20 (-22 + 16p) + -6(1 + 2p) = 20 -22 + 16p + (1 * -6 + 2p * -6) = 20 -22 + 16p + (-6 + -12p) = 20 Reorder the terms: -22 + -6 + 16p + -12p = 20 Combine like terms: -22 + -6 = -28 -28 + 16p + -12p = 20 Combine like terms: 16p + -12p = 4p -28 + 4p = 20 Solving -28 + 4p = 20 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 4p = 20 + 28 Combine like terms: -28 + 28 = 0 0 + 4p = 20 + 28 4p = 20 + 28 Combine like terms: 20 + 28 = 48 4p = 48 Divide each side by '4'. p = 12 Simplifying p = 12
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