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Simplifying 9(p + 10) = 8(p + -7) Reorder the terms: 9(10 + p) = 8(p + -7) (10 * 9 + p * 9) = 8(p + -7) (90 + 9p) = 8(p + -7) Reorder the terms: 90 + 9p = 8(-7 + p) 90 + 9p = (-7 * 8 + p * 8) 90 + 9p = (-56 + 8p) Solving 90 + 9p = -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. 90 + 9p + -8p = -56 + 8p + -8p Combine like terms: 9p + -8p = 1p 90 + 1p = -56 + 8p + -8p Combine like terms: 8p + -8p = 0 90 + 1p = -56 + 0 90 + 1p = -56 Add '-90' to each side of the equation. 90 + -90 + 1p = -56 + -90 Combine like terms: 90 + -90 = 0 0 + 1p = -56 + -90 1p = -56 + -90 Combine like terms: -56 + -90 = -146 1p = -146 Divide each side by '1'. p = -146 Simplifying p = -146
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