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Simplifying -3(4p + 5) + -8(p + -2) = 1 Reorder the terms: -3(5 + 4p) + -8(p + -2) = 1 (5 * -3 + 4p * -3) + -8(p + -2) = 1 (-15 + -12p) + -8(p + -2) = 1 Reorder the terms: -15 + -12p + -8(-2 + p) = 1 -15 + -12p + (-2 * -8 + p * -8) = 1 -15 + -12p + (16 + -8p) = 1 Reorder the terms: -15 + 16 + -12p + -8p = 1 Combine like terms: -15 + 16 = 1 1 + -12p + -8p = 1 Combine like terms: -12p + -8p = -20p 1 + -20p = 1 Add '-1' to each side of the equation. 1 + -1 + -20p = 1 + -1 Combine like terms: 1 + -1 = 0 0 + -20p = 1 + -1 -20p = 1 + -1 Combine like terms: 1 + -1 = 0 -20p = 0 Solving -20p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by '-20'. p = 0.0 Simplifying p = 0.0
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