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Simplifying -7p + 40 = 8(5 + 6p) Reorder the terms: 40 + -7p = 8(5 + 6p) 40 + -7p = (5 * 8 + 6p * 8) 40 + -7p = (40 + 48p) Add '-40' to each side of the equation. 40 + -40 + -7p = 40 + -40 + 48p Combine like terms: 40 + -40 = 0 0 + -7p = 40 + -40 + 48p -7p = 40 + -40 + 48p Combine like terms: 40 + -40 = 0 -7p = 0 + 48p -7p = 48p Solving -7p = 48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48p' to each side of the equation. -7p + -48p = 48p + -48p Combine like terms: -7p + -48p = -55p -55p = 48p + -48p Combine like terms: 48p + -48p = 0 -55p = 0 Divide each side by '-55'. p = 0 Simplifying p = 0
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