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Simplifying 8 + -3p = 5(p + -8) + -2p Reorder the terms: 8 + -3p = 5(-8 + p) + -2p 8 + -3p = (-8 * 5 + p * 5) + -2p 8 + -3p = (-40 + 5p) + -2p Combine like terms: 5p + -2p = 3p 8 + -3p = -40 + 3p Solving 8 + -3p = -40 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 8 + -3p + -3p = -40 + 3p + -3p Combine like terms: -3p + -3p = -6p 8 + -6p = -40 + 3p + -3p Combine like terms: 3p + -3p = 0 8 + -6p = -40 + 0 8 + -6p = -40 Add '-8' to each side of the equation. 8 + -8 + -6p = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -6p = -40 + -8 -6p = -40 + -8 Combine like terms: -40 + -8 = -48 -6p = -48 Divide each side by '-6'. p = 8 Simplifying p = 8
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