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Simplifying -3(2 + -5p) = -1p + -22 (2 * -3 + -5p * -3) = -1p + -22 (-6 + 15p) = -1p + -22 Reorder the terms: -6 + 15p = -22 + -1p Solving -6 + 15p = -22 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -6 + 15p + p = -22 + -1p + p Combine like terms: 15p + p = 16p -6 + 16p = -22 + -1p + p Combine like terms: -1p + p = 0 -6 + 16p = -22 + 0 -6 + 16p = -22 Add '6' to each side of the equation. -6 + 6 + 16p = -22 + 6 Combine like terms: -6 + 6 = 0 0 + 16p = -22 + 6 16p = -22 + 6 Combine like terms: -22 + 6 = -16 16p = -16 Divide each side by '16'. p = -1 Simplifying p = -1
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