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Simplifying 7p + -5 = 4 + 8(p + 9) Reorder the terms: -5 + 7p = 4 + 8(p + 9) Reorder the terms: -5 + 7p = 4 + 8(9 + p) -5 + 7p = 4 + (9 * 8 + p * 8) -5 + 7p = 4 + (72 + 8p) Combine like terms: 4 + 72 = 76 -5 + 7p = 76 + 8p Solving -5 + 7p = 76 + 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. -5 + 7p + -8p = 76 + 8p + -8p Combine like terms: 7p + -8p = -1p -5 + -1p = 76 + 8p + -8p Combine like terms: 8p + -8p = 0 -5 + -1p = 76 + 0 -5 + -1p = 76 Add '5' to each side of the equation. -5 + 5 + -1p = 76 + 5 Combine like terms: -5 + 5 = 0 0 + -1p = 76 + 5 -1p = 76 + 5 Combine like terms: 76 + 5 = 81 -1p = 81 Divide each side by '-1'. p = -81 Simplifying p = -81
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