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Simplifying -2(8p + 2) + -3(2 + 7) = 2(4 + 2p) Reorder the terms: -2(2 + 8p) + -3(2 + 7) = 2(4 + 2p) (2 * -2 + 8p * -2) + -3(2 + 7) = 2(4 + 2p) (-4 + -16p) + -3(2 + 7) = 2(4 + 2p) Combine like terms: 2 + 7 = 9 -4 + -16p + -3(9) = 2(4 + 2p) Multiply -3 * 9 -4 + -16p + -27 = 2(4 + 2p) Reorder the terms: -4 + -27 + -16p = 2(4 + 2p) Combine like terms: -4 + -27 = -31 -31 + -16p = 2(4 + 2p) -31 + -16p = (4 * 2 + 2p * 2) -31 + -16p = (8 + 4p) Solving -31 + -16p = 8 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -31 + -16p + -4p = 8 + 4p + -4p Combine like terms: -16p + -4p = -20p -31 + -20p = 8 + 4p + -4p Combine like terms: 4p + -4p = 0 -31 + -20p = 8 + 0 -31 + -20p = 8 Add '31' to each side of the equation. -31 + 31 + -20p = 8 + 31 Combine like terms: -31 + 31 = 0 0 + -20p = 8 + 31 -20p = 8 + 31 Combine like terms: 8 + 31 = 39 -20p = 39 Divide each side by '-20'. p = -1.95 Simplifying p = -1.95
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