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Simplifying -2(8 + 2) + -3(2 + -7p) + -2(4 + 2p) = 0 Combine like terms: 8 + 2 = 10 -2(10) + -3(2 + -7p) + -2(4 + 2p) = 0 Multiply -2 * 10 -20 + -3(2 + -7p) + -2(4 + 2p) = 0 -20 + (2 * -3 + -7p * -3) + -2(4 + 2p) = 0 -20 + (-6 + 21p) + -2(4 + 2p) = 0 -20 + -6 + 21p + (4 * -2 + 2p * -2) = 0 -20 + -6 + 21p + (-8 + -4p) = 0 Reorder the terms: -20 + -6 + -8 + 21p + -4p = 0 Combine like terms: -20 + -6 = -26 -26 + -8 + 21p + -4p = 0 Combine like terms: -26 + -8 = -34 -34 + 21p + -4p = 0 Combine like terms: 21p + -4p = 17p -34 + 17p = 0 Solving -34 + 17p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 17p = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 17p = 0 + 34 17p = 0 + 34 Combine like terms: 0 + 34 = 34 17p = 34 Divide each side by '17'. p = 2 Simplifying p = 2
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