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Simplifying -40 + -8p = 8(p + -7) Reorder the terms: -40 + -8p = 8(-7 + p) -40 + -8p = (-7 * 8 + p * 8) -40 + -8p = (-56 + 8p) Solving -40 + -8p = -56 + 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. -40 + -8p + -8p = -56 + 8p + -8p Combine like terms: -8p + -8p = -16p -40 + -16p = -56 + 8p + -8p Combine like terms: 8p + -8p = 0 -40 + -16p = -56 + 0 -40 + -16p = -56 Add '40' to each side of the equation. -40 + 40 + -16p = -56 + 40 Combine like terms: -40 + 40 = 0 0 + -16p = -56 + 40 -16p = -56 + 40 Combine like terms: -56 + 40 = -16 -16p = -16 Divide each side by '-16'. p = 1 Simplifying p = 1
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