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Simplifying p + -1(p + 40) = 8(p + -5) + 2p Reorder the terms: p + -1(40 + p) = 8(p + -5) + 2p p + (40 * -1 + p * -1) = 8(p + -5) + 2p p + (-40 + -1p) = 8(p + -5) + 2p Reorder the terms: -40 + p + -1p = 8(p + -5) + 2p Combine like terms: p + -1p = 0 -40 + 0 = 8(p + -5) + 2p -40 = 8(p + -5) + 2p Reorder the terms: -40 = 8(-5 + p) + 2p -40 = (-5 * 8 + p * 8) + 2p -40 = (-40 + 8p) + 2p Combine like terms: 8p + 2p = 10p -40 = -40 + 10p Add '40' to each side of the equation. -40 + 40 = -40 + 40 + 10p Combine like terms: -40 + 40 = 0 0 = -40 + 40 + 10p Combine like terms: -40 + 40 = 0 0 = 0 + 10p 0 = 10p Solving 0 = 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 0 + -10p = 10p + -10p Remove the zero: -10p = 10p + -10p Combine like terms: 10p + -10p = 0 -10p = 0 Divide each side by '-10'. p = 0 Simplifying p = 0
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