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Simplifying -15p + -5(5 + -5p) = 6(6p + -4) + -17 -15p + (5 * -5 + -5p * -5) = 6(6p + -4) + -17 -15p + (-25 + 25p) = 6(6p + -4) + -17 Reorder the terms: -25 + -15p + 25p = 6(6p + -4) + -17 Combine like terms: -15p + 25p = 10p -25 + 10p = 6(6p + -4) + -17 Reorder the terms: -25 + 10p = 6(-4 + 6p) + -17 -25 + 10p = (-4 * 6 + 6p * 6) + -17 -25 + 10p = (-24 + 36p) + -17 Reorder the terms: -25 + 10p = -24 + -17 + 36p Combine like terms: -24 + -17 = -41 -25 + 10p = -41 + 36p Solving -25 + 10p = -41 + 36p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-36p' to each side of the equation. -25 + 10p + -36p = -41 + 36p + -36p Combine like terms: 10p + -36p = -26p -25 + -26p = -41 + 36p + -36p Combine like terms: 36p + -36p = 0 -25 + -26p = -41 + 0 -25 + -26p = -41 Add '25' to each side of the equation. -25 + 25 + -26p = -41 + 25 Combine like terms: -25 + 25 = 0 0 + -26p = -41 + 25 -26p = -41 + 25 Combine like terms: -41 + 25 = -16 -26p = -16 Divide each side by '-26'. p = 0.6153846154 Simplifying p = 0.6153846154
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