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Simplifying 8(8p + 1) + -4(5p + 3) = -48 Reorder the terms: 8(1 + 8p) + -4(5p + 3) = -48 (1 * 8 + 8p * 8) + -4(5p + 3) = -48 (8 + 64p) + -4(5p + 3) = -48 Reorder the terms: 8 + 64p + -4(3 + 5p) = -48 8 + 64p + (3 * -4 + 5p * -4) = -48 8 + 64p + (-12 + -20p) = -48 Reorder the terms: 8 + -12 + 64p + -20p = -48 Combine like terms: 8 + -12 = -4 -4 + 64p + -20p = -48 Combine like terms: 64p + -20p = 44p -4 + 44p = -48 Solving -4 + 44p = -48 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 44p = -48 + 4 Combine like terms: -4 + 4 = 0 0 + 44p = -48 + 4 44p = -48 + 4 Combine like terms: -48 + 4 = -44 44p = -44 Divide each side by '44'. p = -1 Simplifying p = -1
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