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Simplifying 8(10 + -7p) = -8(9 + 8p) (10 * 8 + -7p * 8) = -8(9 + 8p) (80 + -56p) = -8(9 + 8p) 80 + -56p = (9 * -8 + 8p * -8) 80 + -56p = (-72 + -64p) Solving 80 + -56p = -72 + -64p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '64p' to each side of the equation. 80 + -56p + 64p = -72 + -64p + 64p Combine like terms: -56p + 64p = 8p 80 + 8p = -72 + -64p + 64p Combine like terms: -64p + 64p = 0 80 + 8p = -72 + 0 80 + 8p = -72 Add '-80' to each side of the equation. 80 + -80 + 8p = -72 + -80 Combine like terms: 80 + -80 = 0 0 + 8p = -72 + -80 8p = -72 + -80 Combine like terms: -72 + -80 = -152 8p = -152 Divide each side by '8'. p = -19 Simplifying p = -19
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