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Simplifying -3(2p + 7) + -14 = -2(p + 8) + 5 Reorder the terms: -3(7 + 2p) + -14 = -2(p + 8) + 5 (7 * -3 + 2p * -3) + -14 = -2(p + 8) + 5 (-21 + -6p) + -14 = -2(p + 8) + 5 Reorder the terms: -21 + -14 + -6p = -2(p + 8) + 5 Combine like terms: -21 + -14 = -35 -35 + -6p = -2(p + 8) + 5 Reorder the terms: -35 + -6p = -2(8 + p) + 5 -35 + -6p = (8 * -2 + p * -2) + 5 -35 + -6p = (-16 + -2p) + 5 Reorder the terms: -35 + -6p = -16 + 5 + -2p Combine like terms: -16 + 5 = -11 -35 + -6p = -11 + -2p Solving -35 + -6p = -11 + -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. -35 + -6p + 2p = -11 + -2p + 2p Combine like terms: -6p + 2p = -4p -35 + -4p = -11 + -2p + 2p Combine like terms: -2p + 2p = 0 -35 + -4p = -11 + 0 -35 + -4p = -11 Add '35' to each side of the equation. -35 + 35 + -4p = -11 + 35 Combine like terms: -35 + 35 = 0 0 + -4p = -11 + 35 -4p = -11 + 35 Combine like terms: -11 + 35 = 24 -4p = 24 Divide each side by '-4'. p = -6 Simplifying p = -6
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