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Simplifying 7(p + -8) = 8p + 35 Reorder the terms: 7(-8 + p) = 8p + 35 (-8 * 7 + p * 7) = 8p + 35 (-56 + 7p) = 8p + 35 Reorder the terms: -56 + 7p = 35 + 8p Solving -56 + 7p = 35 + 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 + 7p + -8p = 35 + 8p + -8p Combine like terms: 7p + -8p = -1p -56 + -1p = 35 + 8p + -8p Combine like terms: 8p + -8p = 0 -56 + -1p = 35 + 0 -56 + -1p = 35 Add '56' to each side of the equation. -56 + 56 + -1p = 35 + 56 Combine like terms: -56 + 56 = 0 0 + -1p = 35 + 56 -1p = 35 + 56 Combine like terms: 35 + 56 = 91 -1p = 91 Divide each side by '-1'. p = -91 Simplifying p = -91
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