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Simplifying -1(-5p + 1) + -5(2 + 5p) = -31 Reorder the terms: -1(1 + -5p) + -5(2 + 5p) = -31 (1 * -1 + -5p * -1) + -5(2 + 5p) = -31 (-1 + 5p) + -5(2 + 5p) = -31 -1 + 5p + (2 * -5 + 5p * -5) = -31 -1 + 5p + (-10 + -25p) = -31 Reorder the terms: -1 + -10 + 5p + -25p = -31 Combine like terms: -1 + -10 = -11 -11 + 5p + -25p = -31 Combine like terms: 5p + -25p = -20p -11 + -20p = -31 Solving -11 + -20p = -31 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -20p = -31 + 11 Combine like terms: -11 + 11 = 0 0 + -20p = -31 + 11 -20p = -31 + 11 Combine like terms: -31 + 11 = -20 -20p = -20 Divide each side by '-20'. p = 1 Simplifying p = 1
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