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Simplifying -89 = -5(p + 8) + -2p Reorder the terms: -89 = -5(8 + p) + -2p -89 = (8 * -5 + p * -5) + -2p -89 = (-40 + -5p) + -2p Combine like terms: -5p + -2p = -7p -89 = -40 + -7p Solving -89 = -40 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -89 + 7p = -40 + -7p + 7p Combine like terms: -7p + 7p = 0 -89 + 7p = -40 + 0 -89 + 7p = -40 Add '89' to each side of the equation. -89 + 89 + 7p = -40 + 89 Combine like terms: -89 + 89 = 0 0 + 7p = -40 + 89 7p = -40 + 89 Combine like terms: -40 + 89 = 49 7p = 49 Divide each side by '7'. p = 7 Simplifying p = 7
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