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Simplifying 8(p + -7) = 9(p + 10) Reorder the terms: 8(-7 + p) = 9(p + 10) (-7 * 8 + p * 8) = 9(p + 10) (-56 + 8p) = 9(p + 10) Reorder the terms: -56 + 8p = 9(10 + p) -56 + 8p = (10 * 9 + p * 9) -56 + 8p = (90 + 9p) Solving -56 + 8p = 90 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -56 + 8p + -9p = 90 + 9p + -9p Combine like terms: 8p + -9p = -1p -56 + -1p = 90 + 9p + -9p Combine like terms: 9p + -9p = 0 -56 + -1p = 90 + 0 -56 + -1p = 90 Add '56' to each side of the equation. -56 + 56 + -1p = 90 + 56 Combine like terms: -56 + 56 = 0 0 + -1p = 90 + 56 -1p = 90 + 56 Combine like terms: 90 + 56 = 146 -1p = 146 Divide each side by '-1'. p = -146 Simplifying p = -146
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