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Simplifying -2(8p + 2) + -3(2 + -7p) + -2(4 + 2p) = 0 Reorder the terms: -2(2 + 8p) + -3(2 + -7p) + -2(4 + 2p) = 0 (2 * -2 + 8p * -2) + -3(2 + -7p) + -2(4 + 2p) = 0 (-4 + -16p) + -3(2 + -7p) + -2(4 + 2p) = 0 -4 + -16p + (2 * -3 + -7p * -3) + -2(4 + 2p) = 0 -4 + -16p + (-6 + 21p) + -2(4 + 2p) = 0 -4 + -16p + -6 + 21p + (4 * -2 + 2p * -2) = 0 -4 + -16p + -6 + 21p + (-8 + -4p) = 0 Reorder the terms: -4 + -6 + -8 + -16p + 21p + -4p = 0 Combine like terms: -4 + -6 = -10 -10 + -8 + -16p + 21p + -4p = 0 Combine like terms: -10 + -8 = -18 -18 + -16p + 21p + -4p = 0 Combine like terms: -16p + 21p = 5p -18 + 5p + -4p = 0 Combine like terms: 5p + -4p = 1p -18 + 1p = 0 Solving -18 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1p = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1p = 0 + 18 1p = 0 + 18 Combine like terms: 0 + 18 = 18 1p = 18 Divide each side by '1'. p = 18 Simplifying p = 18
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