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Simplifying -1p + -40 = 5(-8 + 4p) + 2p Reorder the terms: -40 + -1p = 5(-8 + 4p) + 2p -40 + -1p = (-8 * 5 + 4p * 5) + 2p -40 + -1p = (-40 + 20p) + 2p Combine like terms: 20p + 2p = 22p -40 + -1p = -40 + 22p Add '40' to each side of the equation. -40 + 40 + -1p = -40 + 40 + 22p Combine like terms: -40 + 40 = 0 0 + -1p = -40 + 40 + 22p -1p = -40 + 40 + 22p Combine like terms: -40 + 40 = 0 -1p = 0 + 22p -1p = 22p Solving -1p = 22p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-22p' to each side of the equation. -1p + -22p = 22p + -22p Combine like terms: -1p + -22p = -23p -23p = 22p + -22p Combine like terms: 22p + -22p = 0 -23p = 0 Divide each side by '-23'. p = 0 Simplifying p = 0
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