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Simplifying 8p + -7(3 + -1p) + -1(4p + -1) + 8 = -1 8p + (3 * -7 + -1p * -7) + -1(4p + -1) + 8 = -1 8p + (-21 + 7p) + -1(4p + -1) + 8 = -1 Reorder the terms: 8p + -21 + 7p + -1(-1 + 4p) + 8 = -1 8p + -21 + 7p + (-1 * -1 + 4p * -1) + 8 = -1 8p + -21 + 7p + (1 + -4p) + 8 = -1 Reorder the terms: -21 + 1 + 8 + 8p + 7p + -4p = -1 Combine like terms: -21 + 1 = -20 -20 + 8 + 8p + 7p + -4p = -1 Combine like terms: -20 + 8 = -12 -12 + 8p + 7p + -4p = -1 Combine like terms: 8p + 7p = 15p -12 + 15p + -4p = -1 Combine like terms: 15p + -4p = 11p -12 + 11p = -1 Solving -12 + 11p = -1 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 11p = -1 + 12 Combine like terms: -12 + 12 = 0 0 + 11p = -1 + 12 11p = -1 + 12 Combine like terms: -1 + 12 = 11 11p = 11 Divide each side by '11'. p = 1 Simplifying p = 1
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