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Simplifying -4(p + -2) + -5p = -22 + -4p Reorder the terms: -4(-2 + p) + -5p = -22 + -4p (-2 * -4 + p * -4) + -5p = -22 + -4p (8 + -4p) + -5p = -22 + -4p Combine like terms: -4p + -5p = -9p 8 + -9p = -22 + -4p Solving 8 + -9p = -22 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 8 + -9p + 4p = -22 + -4p + 4p Combine like terms: -9p + 4p = -5p 8 + -5p = -22 + -4p + 4p Combine like terms: -4p + 4p = 0 8 + -5p = -22 + 0 8 + -5p = -22 Add '-8' to each side of the equation. 8 + -8 + -5p = -22 + -8 Combine like terms: 8 + -8 = 0 0 + -5p = -22 + -8 -5p = -22 + -8 Combine like terms: -22 + -8 = -30 -5p = -30 Divide each side by '-5'. p = 6 Simplifying p = 6
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