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Simplifying p + -1(p + 22) = 9(p + -4) + 5p Reorder the terms: p + -1(22 + p) = 9(p + -4) + 5p p + (22 * -1 + p * -1) = 9(p + -4) + 5p p + (-22 + -1p) = 9(p + -4) + 5p Reorder the terms: -22 + p + -1p = 9(p + -4) + 5p Combine like terms: p + -1p = 0 -22 + 0 = 9(p + -4) + 5p -22 = 9(p + -4) + 5p Reorder the terms: -22 = 9(-4 + p) + 5p -22 = (-4 * 9 + p * 9) + 5p -22 = (-36 + 9p) + 5p Combine like terms: 9p + 5p = 14p -22 = -36 + 14p Solving -22 = -36 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. -22 + -14p = -36 + 14p + -14p Combine like terms: 14p + -14p = 0 -22 + -14p = -36 + 0 -22 + -14p = -36 Add '22' to each side of the equation. -22 + 22 + -14p = -36 + 22 Combine like terms: -22 + 22 = 0 0 + -14p = -36 + 22 -14p = -36 + 22 Combine like terms: -36 + 22 = -14 -14p = -14 Divide each side by '-14'. p = 1 Simplifying p = 1
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