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Simplifying 56 = 8(p + -5) Reorder the terms: 56 = 8(-5 + p) 56 = (-5 * 8 + p * 8) 56 = (-40 + 8p) Solving 56 = -40 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 56 + -8p = -40 + 8p + -8p Combine like terms: 8p + -8p = 0 56 + -8p = -40 + 0 56 + -8p = -40 Add '-56' to each side of the equation. 56 + -56 + -8p = -40 + -56 Combine like terms: 56 + -56 = 0 0 + -8p = -40 + -56 -8p = -40 + -56 Combine like terms: -40 + -56 = -96 -8p = -96 Divide each side by '-8'. p = 12 Simplifying p = 12
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