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Simplifying p + -1(p + 5) = 9(p + -2) + 4p Reorder the terms: p + -1(5 + p) = 9(p + -2) + 4p p + (5 * -1 + p * -1) = 9(p + -2) + 4p p + (-5 + -1p) = 9(p + -2) + 4p Reorder the terms: -5 + p + -1p = 9(p + -2) + 4p Combine like terms: p + -1p = 0 -5 + 0 = 9(p + -2) + 4p -5 = 9(p + -2) + 4p Reorder the terms: -5 = 9(-2 + p) + 4p -5 = (-2 * 9 + p * 9) + 4p -5 = (-18 + 9p) + 4p Combine like terms: 9p + 4p = 13p -5 = -18 + 13p Solving -5 = -18 + 13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13p' to each side of the equation. -5 + -13p = -18 + 13p + -13p Combine like terms: 13p + -13p = 0 -5 + -13p = -18 + 0 -5 + -13p = -18 Add '5' to each side of the equation. -5 + 5 + -13p = -18 + 5 Combine like terms: -5 + 5 = 0 0 + -13p = -18 + 5 -13p = -18 + 5 Combine like terms: -18 + 5 = -13 -13p = -13 Divide each side by '-13'. p = 1 Simplifying p = 1
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