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Simplifying -8p + 33 = -7(2p + -3) Reorder the terms: 33 + -8p = -7(2p + -3) Reorder the terms: 33 + -8p = -7(-3 + 2p) 33 + -8p = (-3 * -7 + 2p * -7) 33 + -8p = (21 + -14p) Solving 33 + -8p = 21 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. 33 + -8p + 14p = 21 + -14p + 14p Combine like terms: -8p + 14p = 6p 33 + 6p = 21 + -14p + 14p Combine like terms: -14p + 14p = 0 33 + 6p = 21 + 0 33 + 6p = 21 Add '-33' to each side of the equation. 33 + -33 + 6p = 21 + -33 Combine like terms: 33 + -33 = 0 0 + 6p = 21 + -33 6p = 21 + -33 Combine like terms: 21 + -33 = -12 6p = -12 Divide each side by '6'. p = -2 Simplifying p = -2
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