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Simplifying -8(p + 2) = -5p + -1(4p + 1) Reorder the terms: -8(2 + p) = -5p + -1(4p + 1) (2 * -8 + p * -8) = -5p + -1(4p + 1) (-16 + -8p) = -5p + -1(4p + 1) Reorder the terms: -16 + -8p = -5p + -1(1 + 4p) -16 + -8p = -5p + (1 * -1 + 4p * -1) -16 + -8p = -5p + (-1 + -4p) Reorder the terms: -16 + -8p = -1 + -5p + -4p Combine like terms: -5p + -4p = -9p -16 + -8p = -1 + -9p Solving -16 + -8p = -1 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. -16 + -8p + 9p = -1 + -9p + 9p Combine like terms: -8p + 9p = 1p -16 + 1p = -1 + -9p + 9p Combine like terms: -9p + 9p = 0 -16 + 1p = -1 + 0 -16 + 1p = -1 Add '16' to each side of the equation. -16 + 16 + 1p = -1 + 16 Combine like terms: -16 + 16 = 0 0 + 1p = -1 + 16 1p = -1 + 16 Combine like terms: -1 + 16 = 15 1p = 15 Divide each side by '1'. p = 15 Simplifying p = 15
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