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Simplifying -3(2p + 8) + -16 = -2(p + 9) + 6 Reorder the terms: -3(8 + 2p) + -16 = -2(p + 9) + 6 (8 * -3 + 2p * -3) + -16 = -2(p + 9) + 6 (-24 + -6p) + -16 = -2(p + 9) + 6 Reorder the terms: -24 + -16 + -6p = -2(p + 9) + 6 Combine like terms: -24 + -16 = -40 -40 + -6p = -2(p + 9) + 6 Reorder the terms: -40 + -6p = -2(9 + p) + 6 -40 + -6p = (9 * -2 + p * -2) + 6 -40 + -6p = (-18 + -2p) + 6 Reorder the terms: -40 + -6p = -18 + 6 + -2p Combine like terms: -18 + 6 = -12 -40 + -6p = -12 + -2p Solving -40 + -6p = -12 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -40 + -6p + 2p = -12 + -2p + 2p Combine like terms: -6p + 2p = -4p -40 + -4p = -12 + -2p + 2p Combine like terms: -2p + 2p = 0 -40 + -4p = -12 + 0 -40 + -4p = -12 Add '40' to each side of the equation. -40 + 40 + -4p = -12 + 40 Combine like terms: -40 + 40 = 0 0 + -4p = -12 + 40 -4p = -12 + 40 Combine like terms: -12 + 40 = 28 -4p = 28 Divide each side by '-4'. p = -7 Simplifying p = -7
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