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Simplifying 8(p + 1) = 7(m + -1) Reorder the terms: 8(1 + p) = 7(m + -1) (1 * 8 + p * 8) = 7(m + -1) (8 + 8p) = 7(m + -1) Reorder the terms: 8 + 8p = 7(-1 + m) 8 + 8p = (-1 * 7 + m * 7) 8 + 8p = (-7 + 7m) Solving 8 + 8p = -7 + 7m Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8p = -7 + -8 + 7m Combine like terms: 8 + -8 = 0 0 + 8p = -7 + -8 + 7m 8p = -7 + -8 + 7m Combine like terms: -7 + -8 = -15 8p = -15 + 7m Divide each side by '8'. p = -1.875 + 0.875m Simplifying p = -1.875 + 0.875m
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