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Simplifying 9(p + -6) = 25(p + -1) Reorder the terms: 9(-6 + p) = 25(p + -1) (-6 * 9 + p * 9) = 25(p + -1) (-54 + 9p) = 25(p + -1) Reorder the terms: -54 + 9p = 25(-1 + p) -54 + 9p = (-1 * 25 + p * 25) -54 + 9p = (-25 + 25p) Solving -54 + 9p = -25 + 25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25p' to each side of the equation. -54 + 9p + -25p = -25 + 25p + -25p Combine like terms: 9p + -25p = -16p -54 + -16p = -25 + 25p + -25p Combine like terms: 25p + -25p = 0 -54 + -16p = -25 + 0 -54 + -16p = -25 Add '54' to each side of the equation. -54 + 54 + -16p = -25 + 54 Combine like terms: -54 + 54 = 0 0 + -16p = -25 + 54 -16p = -25 + 54 Combine like terms: -25 + 54 = 29 -16p = 29 Divide each side by '-16'. p = -1.8125 Simplifying p = -1.8125
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