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Simplifying -7(3p + 8) + -4(1 + -6p) = -57 Reorder the terms: -7(8 + 3p) + -4(1 + -6p) = -57 (8 * -7 + 3p * -7) + -4(1 + -6p) = -57 (-56 + -21p) + -4(1 + -6p) = -57 -56 + -21p + (1 * -4 + -6p * -4) = -57 -56 + -21p + (-4 + 24p) = -57 Reorder the terms: -56 + -4 + -21p + 24p = -57 Combine like terms: -56 + -4 = -60 -60 + -21p + 24p = -57 Combine like terms: -21p + 24p = 3p -60 + 3p = -57 Solving -60 + 3p = -57 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 3p = -57 + 60 Combine like terms: -60 + 60 = 0 0 + 3p = -57 + 60 3p = -57 + 60 Combine like terms: -57 + 60 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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